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Finding the Third Proportional to 229,599 and 307,948.50

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Solution

The third proportional to 229,599 and 307,948.50 is: 413,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,599 : 307,948.50 = 307,948.50 : x
  2. Step 2: Convert to fraction form
    229,599/307,948.50 = 307,948.50/x
  3. Step 3: Cross multiply
    229,599x = 307,948.50 × 307,948.50
  4. Step 4: Simplify right side
    229,599x = 94,832,278,652.25
  5. Step 5: Solve for x
    x = 94,832,278,652.25/229,599
  6. Step 6: Final answer
    x = 413,034.37

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.