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Finding the Third Proportional to 70,420 and 156,584

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Solution

The third proportional to 70,420 and 156,584 is: 348,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,420 : 156,584 = 156,584 : x
  2. Step 2: Convert to fraction form
    70,420/156,584 = 156,584/x
  3. Step 3: Cross multiply
    70,420x = 156,584 × 156,584
  4. Step 4: Simplify right side
    70,420x = 24,518,549,056
  5. Step 5: Solve for x
    x = 24,518,549,056/70,420
  6. Step 6: Final answer
    x = 348,175.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.