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Finding the Third Proportional to 145,315 and 226,581

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Solution

The third proportional to 145,315 and 226,581 is: 353,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,315 : 226,581 = 226,581 : x
  2. Step 2: Convert to fraction form
    145,315/226,581 = 226,581/x
  3. Step 3: Cross multiply
    145,315x = 226,581 × 226,581
  4. Step 4: Simplify right side
    145,315x = 51,338,949,561
  5. Step 5: Solve for x
    x = 51,338,949,561/145,315
  6. Step 6: Final answer
    x = 353,294.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.