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Finding the Third Proportional to 74,368 and 156,544

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Solution

The third proportional to 74,368 and 156,544 is: 329,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,368 : 156,544 = 156,544 : x
  2. Step 2: Convert to fraction form
    74,368/156,544 = 156,544/x
  3. Step 3: Cross multiply
    74,368x = 156,544 × 156,544
  4. Step 4: Simplify right side
    74,368x = 24,506,023,936
  5. Step 5: Solve for x
    x = 24,506,023,936/74,368
  6. Step 6: Final answer
    x = 329,523.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.