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Finding the Third Proportional to 140,457 and 307,189.50

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Solution

The third proportional to 140,457 and 307,189.50 is: 671,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,457 : 307,189.50 = 307,189.50 : x
  2. Step 2: Convert to fraction form
    140,457/307,189.50 = 307,189.50/x
  3. Step 3: Cross multiply
    140,457x = 307,189.50 × 307,189.50
  4. Step 4: Simplify right side
    140,457x = 94,365,388,910.25
  5. Step 5: Solve for x
    x = 94,365,388,910.25/140,457
  6. Step 6: Final answer
    x = 671,845.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.