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Finding the Third Proportional to 117,384.75 and 169,567.88

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Solution

The third proportional to 117,384.75 and 169,567.88 is: 244,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,384.75 : 169,567.88 = 169,567.88 : x
  2. Step 2: Convert to fraction form
    117,384.75/169,567.88 = 169,567.88/x
  3. Step 3: Cross multiply
    117,384.75x = 169,567.88 × 169,567.88
  4. Step 4: Simplify right side
    117,384.75x = 28,753,264,232.02
  5. Step 5: Solve for x
    x = 28,753,264,232.02/117,384.75
  6. Step 6: Final answer
    x = 244,948.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.