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Finding the Third Proportional to 142,527 and 301,074

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Solution

The third proportional to 142,527 and 301,074 is: 635,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,527 : 301,074 = 301,074 : x
  2. Step 2: Convert to fraction form
    142,527/301,074 = 301,074/x
  3. Step 3: Cross multiply
    142,527x = 301,074 × 301,074
  4. Step 4: Simplify right side
    142,527x = 90,645,553,476
  5. Step 5: Solve for x
    x = 90,645,553,476/142,527
  6. Step 6: Final answer
    x = 635,988.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.