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Finding the Third Proportional to 84,498 and 185,520

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Solution

The third proportional to 84,498 and 185,520 is: 407,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,498 : 185,520 = 185,520 : x
  2. Step 2: Convert to fraction form
    84,498/185,520 = 185,520/x
  3. Step 3: Cross multiply
    84,498x = 185,520 × 185,520
  4. Step 4: Simplify right side
    84,498x = 34,417,670,400
  5. Step 5: Solve for x
    x = 34,417,670,400/84,498
  6. Step 6: Final answer
    x = 407,319.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.