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Finding the Third Proportional to 180,386 and 402,180

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Solution

The third proportional to 180,386 and 402,180 is: 896,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,386 : 402,180 = 402,180 : x
  2. Step 2: Convert to fraction form
    180,386/402,180 = 402,180/x
  3. Step 3: Cross multiply
    180,386x = 402,180 × 402,180
  4. Step 4: Simplify right side
    180,386x = 161,748,752,400
  5. Step 5: Solve for x
    x = 161,748,752,400/180,386
  6. Step 6: Final answer
    x = 896,681.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.