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Finding the Third Proportional to 142,700 and 221,264

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Solution

The third proportional to 142,700 and 221,264 is: 343,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,700 : 221,264 = 221,264 : x
  2. Step 2: Convert to fraction form
    142,700/221,264 = 221,264/x
  3. Step 3: Cross multiply
    142,700x = 221,264 × 221,264
  4. Step 4: Simplify right side
    142,700x = 48,957,757,696
  5. Step 5: Solve for x
    x = 48,957,757,696/142,700
  6. Step 6: Final answer
    x = 343,081.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.