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Finding the Third Proportional to 147,471 and 322,539

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Solution

The third proportional to 147,471 and 322,539 is: 705,436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,471 : 322,539 = 322,539 : x
  2. Step 2: Convert to fraction form
    147,471/322,539 = 322,539/x
  3. Step 3: Cross multiply
    147,471x = 322,539 × 322,539
  4. Step 4: Simplify right side
    147,471x = 104,031,406,521
  5. Step 5: Solve for x
    x = 104,031,406,521/147,471
  6. Step 6: Final answer
    x = 705,436.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.