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Finding the Third Proportional to 207,957 and 330,565.50

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Solution

The third proportional to 207,957 and 330,565.50 is: 525,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,957 : 330,565.50 = 330,565.50 : x
  2. Step 2: Convert to fraction form
    207,957/330,565.50 = 330,565.50/x
  3. Step 3: Cross multiply
    207,957x = 330,565.50 × 330,565.50
  4. Step 4: Simplify right side
    207,957x = 109,273,549,790.25
  5. Step 5: Solve for x
    x = 109,273,549,790.25/207,957
  6. Step 6: Final answer
    x = 525,462.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.