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Finding the Third Proportional to 148,292 and 229,810

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Solution

The third proportional to 148,292 and 229,810 is: 356,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,292 : 229,810 = 229,810 : x
  2. Step 2: Convert to fraction form
    148,292/229,810 = 229,810/x
  3. Step 3: Cross multiply
    148,292x = 229,810 × 229,810
  4. Step 4: Simplify right side
    148,292x = 52,812,636,100
  5. Step 5: Solve for x
    x = 52,812,636,100/148,292
  6. Step 6: Final answer
    x = 356,139.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.