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Finding the Third Proportional to 160,006.50 and 247,812.75

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Solution

The third proportional to 160,006.50 and 247,812.75 is: 383,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,006.50 : 247,812.75 = 247,812.75 : x
  2. Step 2: Convert to fraction form
    160,006.50/247,812.75 = 247,812.75/x
  3. Step 3: Cross multiply
    160,006.50x = 247,812.75 × 247,812.75
  4. Step 4: Simplify right side
    160,006.50x = 61,411,159,062.56
  5. Step 5: Solve for x
    x = 61,411,159,062.56/160,006.50
  6. Step 6: Final answer
    x = 383,804.15

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Why These Related Problems?

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