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Finding the Third Proportional to 92,472 and 218,220

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Solution

The third proportional to 92,472 and 218,220 is: 514,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,472 : 218,220 = 218,220 : x
  2. Step 2: Convert to fraction form
    92,472/218,220 = 218,220/x
  3. Step 3: Cross multiply
    92,472x = 218,220 × 218,220
  4. Step 4: Simplify right side
    92,472x = 47,619,968,400
  5. Step 5: Solve for x
    x = 47,619,968,400/92,472
  6. Step 6: Final answer
    x = 514,966.35

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.