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Finding the Third Proportional to 147,358 and 221,897

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Solution

The third proportional to 147,358 and 221,897 is: 334,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,358 : 221,897 = 221,897 : x
  2. Step 2: Convert to fraction form
    147,358/221,897 = 221,897/x
  3. Step 3: Cross multiply
    147,358x = 221,897 × 221,897
  4. Step 4: Simplify right side
    147,358x = 49,238,278,609
  5. Step 5: Solve for x
    x = 49,238,278,609/147,358
  6. Step 6: Final answer
    x = 334,140.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.