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Finding the Third Proportional to 132,030.88 and 285,108.88

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Solution

The third proportional to 132,030.88 and 285,108.88 is: 615,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,030.88 : 285,108.88 = 285,108.88 : x
  2. Step 2: Convert to fraction form
    132,030.88/285,108.88 = 285,108.88/x
  3. Step 3: Cross multiply
    132,030.88x = 285,108.88 × 285,108.88
  4. Step 4: Simplify right side
    132,030.88x = 81,287,070,603.77
  5. Step 5: Solve for x
    x = 81,287,070,603.77/132,030.88
  6. Step 6: Final answer
    x = 615,667.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.