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Finding the Third Proportional to 70,248 and 152,402

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Solution

The third proportional to 70,248 and 152,402 is: 330,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,248 : 152,402 = 152,402 : x
  2. Step 2: Convert to fraction form
    70,248/152,402 = 152,402/x
  3. Step 3: Cross multiply
    70,248x = 152,402 × 152,402
  4. Step 4: Simplify right side
    70,248x = 23,226,369,604
  5. Step 5: Solve for x
    x = 23,226,369,604/70,248
  6. Step 6: Final answer
    x = 330,633.89

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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.