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Finding the Third Proportional to 165,588 and 357,421

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Solution

The third proportional to 165,588 and 357,421 is: 771,491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,588 : 357,421 = 357,421 : x
  2. Step 2: Convert to fraction form
    165,588/357,421 = 357,421/x
  3. Step 3: Cross multiply
    165,588x = 357,421 × 357,421
  4. Step 4: Simplify right side
    165,588x = 127,749,771,241
  5. Step 5: Solve for x
    x = 127,749,771,241/165,588
  6. Step 6: Final answer
    x = 771,491.72

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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.