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Finding the Third Proportional to 185,150 and 403,748

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Solution

The third proportional to 185,150 and 403,748 is: 880,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,150 : 403,748 = 403,748 : x
  2. Step 2: Convert to fraction form
    185,150/403,748 = 403,748/x
  3. Step 3: Cross multiply
    185,150x = 403,748 × 403,748
  4. Step 4: Simplify right side
    185,150x = 163,012,447,504
  5. Step 5: Solve for x
    x = 163,012,447,504/185,150
  6. Step 6: Final answer
    x = 880,434.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.