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Finding the Third Proportional to 163,207.97 and 249,641.72

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Solution

The third proportional to 163,207.97 and 249,641.72 is: 381,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,207.97 : 249,641.72 = 249,641.72 : x
  2. Step 2: Convert to fraction form
    163,207.97/249,641.72 = 249,641.72/x
  3. Step 3: Cross multiply
    163,207.97x = 249,641.72 × 249,641.72
  4. Step 4: Simplify right side
    163,207.97x = 62,320,987,740.45
  5. Step 5: Solve for x
    x = 62,320,987,740.45/163,207.97
  6. Step 6: Final answer
    x = 381,850.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.