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Finding the Third Proportional to 180,352 and 385,720

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Solution

The third proportional to 180,352 and 385,720 is: 824,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,352 : 385,720 = 385,720 : x
  2. Step 2: Convert to fraction form
    180,352/385,720 = 385,720/x
  3. Step 3: Cross multiply
    180,352x = 385,720 × 385,720
  4. Step 4: Simplify right side
    180,352x = 148,779,918,400
  5. Step 5: Solve for x
    x = 148,779,918,400/180,352
  6. Step 6: Final answer
    x = 824,941.88

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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.