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Finding the Third Proportional to 163,115.77 and 249,548.91

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Solution

The third proportional to 163,115.77 and 249,548.91 is: 381,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,115.77 : 249,548.91 = 249,548.91 : x
  2. Step 2: Convert to fraction form
    163,115.77/249,548.91 = 249,548.91/x
  3. Step 3: Cross multiply
    163,115.77x = 249,548.91 × 249,548.91
  4. Step 4: Simplify right side
    163,115.77x = 62,274,656,610.57
  5. Step 5: Solve for x
    x = 62,274,656,610.57/163,115.77
  6. Step 6: Final answer
    x = 381,781.96

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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.