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Finding the Third Proportional to 170,428 and 250,386

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Solution

The third proportional to 170,428 and 250,386 is: 367,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,428 : 250,386 = 250,386 : x
  2. Step 2: Convert to fraction form
    170,428/250,386 = 250,386/x
  3. Step 3: Cross multiply
    170,428x = 250,386 × 250,386
  4. Step 4: Simplify right side
    170,428x = 62,693,148,996
  5. Step 5: Solve for x
    x = 62,693,148,996/170,428
  6. Step 6: Final answer
    x = 367,857.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.