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Finding the Third Proportional to 179,528 and 382,382

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Solution

The third proportional to 179,528 and 382,382 is: 814,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,528 : 382,382 = 382,382 : x
  2. Step 2: Convert to fraction form
    179,528/382,382 = 382,382/x
  3. Step 3: Cross multiply
    179,528x = 382,382 × 382,382
  4. Step 4: Simplify right side
    179,528x = 146,215,993,924
  5. Step 5: Solve for x
    x = 146,215,993,924/179,528
  6. Step 6: Final answer
    x = 814,446.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.