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Finding the Third Proportional to 140,446.31 and 307,167.94

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Solution

The third proportional to 140,446.31 and 307,167.94 is: 671,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,446.31 : 307,167.94 = 307,167.94 : x
  2. Step 2: Convert to fraction form
    140,446.31/307,167.94 = 307,167.94/x
  3. Step 3: Cross multiply
    140,446.31x = 307,167.94 × 307,167.94
  4. Step 4: Simplify right side
    140,446.31x = 94,352,141,828.00
  5. Step 5: Solve for x
    x = 94,352,141,828.00/140,446.31
  6. Step 6: Final answer
    x = 671,802.20

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Why These Related Problems?

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