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Finding the Third Proportional to 155,521 and 332,362

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Solution

The third proportional to 155,521 and 332,362 is: 710,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,521 : 332,362 = 332,362 : x
  2. Step 2: Convert to fraction form
    155,521/332,362 = 332,362/x
  3. Step 3: Cross multiply
    155,521x = 332,362 × 332,362
  4. Step 4: Simplify right side
    155,521x = 110,464,499,044
  5. Step 5: Solve for x
    x = 110,464,499,044/155,521
  6. Step 6: Final answer
    x = 710,286.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.