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Finding the Third Proportional to 84,483 and 185,490

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Solution

The third proportional to 84,483 and 185,490 is: 407,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,483 : 185,490 = 185,490 : x
  2. Step 2: Convert to fraction form
    84,483/185,490 = 185,490/x
  3. Step 3: Cross multiply
    84,483x = 185,490 × 185,490
  4. Step 4: Simplify right side
    84,483x = 34,406,540,100
  5. Step 5: Solve for x
    x = 34,406,540,100/84,483
  6. Step 6: Final answer
    x = 407,259.92

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Why These Related Problems?

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