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Finding the Third Proportional to 165,486 and 357,209

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Solution

The third proportional to 165,486 and 357,209 is: 771,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,486 : 357,209 = 357,209 : x
  2. Step 2: Convert to fraction form
    165,486/357,209 = 357,209/x
  3. Step 3: Cross multiply
    165,486x = 357,209 × 357,209
  4. Step 4: Simplify right side
    165,486x = 127,598,269,681
  5. Step 5: Solve for x
    x = 127,598,269,681/165,486
  6. Step 6: Final answer
    x = 771,051.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.