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Finding the Third Proportional to 115,464 and 180,486

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Solution

The third proportional to 115,464 and 180,486 is: 282,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,464 : 180,486 = 180,486 : x
  2. Step 2: Convert to fraction form
    115,464/180,486 = 180,486/x
  3. Step 3: Cross multiply
    115,464x = 180,486 × 180,486
  4. Step 4: Simplify right side
    115,464x = 32,575,196,196
  5. Step 5: Solve for x
    x = 32,575,196,196/115,464
  6. Step 6: Final answer
    x = 282,124.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.