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Finding the Third Proportional to 160,829.50 and 236,565.50

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Solution

The third proportional to 160,829.50 and 236,565.50 is: 347,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,829.50 : 236,565.50 = 236,565.50 : x
  2. Step 2: Convert to fraction form
    160,829.50/236,565.50 = 236,565.50/x
  3. Step 3: Cross multiply
    160,829.50x = 236,565.50 × 236,565.50
  4. Step 4: Simplify right side
    160,829.50x = 55,963,235,790.25
  5. Step 5: Solve for x
    x = 55,963,235,790.25/160,829.50
  6. Step 6: Final answer
    x = 347,966.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.