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Finding the Third Proportional to 160,564.50 and 250,039.13

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Solution

The third proportional to 160,564.50 and 250,039.13 is: 389,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,564.50 : 250,039.13 = 250,039.13 : x
  2. Step 2: Convert to fraction form
    160,564.50/250,039.13 = 250,039.13/x
  3. Step 3: Cross multiply
    160,564.50x = 250,039.13 × 250,039.13
  4. Step 4: Simplify right side
    160,564.50x = 62,519,564,030.77
  5. Step 5: Solve for x
    x = 62,519,564,030.77/160,564.50
  6. Step 6: Final answer
    x = 389,373.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.