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Finding the Third Proportional to 234,187.50 and 507,457.50

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Solution

The third proportional to 234,187.50 and 507,457.50 is: 1,099,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,187.50 : 507,457.50 = 507,457.50 : x
  2. Step 2: Convert to fraction form
    234,187.50/507,457.50 = 507,457.50/x
  3. Step 3: Cross multiply
    234,187.50x = 507,457.50 × 507,457.50
  4. Step 4: Simplify right side
    234,187.50x = 257,513,114,306.25
  5. Step 5: Solve for x
    x = 257,513,114,306.25/234,187.50
  6. Step 6: Final answer
    x = 1,099,602.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.