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Finding the Third Proportional to 234,832.50 and 507,174

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Solution

The third proportional to 234,832.50 and 507,174 is: 1,095,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,832.50 : 507,174 = 507,174 : x
  2. Step 2: Convert to fraction form
    234,832.50/507,174 = 507,174/x
  3. Step 3: Cross multiply
    234,832.50x = 507,174 × 507,174
  4. Step 4: Simplify right side
    234,832.50x = 257,225,466,276
  5. Step 5: Solve for x
    x = 257,225,466,276/234,832.50
  6. Step 6: Final answer
    x = 1,095,357.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.