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Finding the Third Proportional to 182,498 and 390,216

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Solution

The third proportional to 182,498 and 390,216 is: 834,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,498 : 390,216 = 390,216 : x
  2. Step 2: Convert to fraction form
    182,498/390,216 = 390,216/x
  3. Step 3: Cross multiply
    182,498x = 390,216 × 390,216
  4. Step 4: Simplify right side
    182,498x = 152,268,526,656
  5. Step 5: Solve for x
    x = 152,268,526,656/182,498
  6. Step 6: Final answer
    x = 834,357.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.