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Finding the Third Proportional to 239,952 and 358,600

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Solution

The third proportional to 239,952 and 358,600 is: 535,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,952 : 358,600 = 358,600 : x
  2. Step 2: Convert to fraction form
    239,952/358,600 = 358,600/x
  3. Step 3: Cross multiply
    239,952x = 358,600 × 358,600
  4. Step 4: Simplify right side
    239,952x = 128,593,960,000
  5. Step 5: Solve for x
    x = 128,593,960,000/239,952
  6. Step 6: Final answer
    x = 535,915.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.