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Finding the Third Proportional to 156,386 and 334,915

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Solution

The third proportional to 156,386 and 334,915 is: 717,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,386 : 334,915 = 334,915 : x
  2. Step 2: Convert to fraction form
    156,386/334,915 = 334,915/x
  3. Step 3: Cross multiply
    156,386x = 334,915 × 334,915
  4. Step 4: Simplify right side
    156,386x = 112,168,057,225
  5. Step 5: Solve for x
    x = 112,168,057,225/156,386
  6. Step 6: Final answer
    x = 717,251.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.