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Finding the Third Proportional to 135,658.13 and 294,670.13

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Solution

The third proportional to 135,658.13 and 294,670.13 is: 640,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,658.13 : 294,670.13 = 294,670.13 : x
  2. Step 2: Convert to fraction form
    135,658.13/294,670.13 = 294,670.13/x
  3. Step 3: Cross multiply
    135,658.13x = 294,670.13 × 294,670.13
  4. Step 4: Simplify right side
    135,658.13x = 86,830,482,567.52
  5. Step 5: Solve for x
    x = 86,830,482,567.52/135,658.13
  6. Step 6: Final answer
    x = 640,068.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.