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Finding the Third Proportional to 155,524 and 211,033

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Solution

The third proportional to 155,524 and 211,033 is: 286,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,524 : 211,033 = 211,033 : x
  2. Step 2: Convert to fraction form
    155,524/211,033 = 211,033/x
  3. Step 3: Cross multiply
    155,524x = 211,033 × 211,033
  4. Step 4: Simplify right side
    155,524x = 44,534,927,089
  5. Step 5: Solve for x
    x = 44,534,927,089/155,524
  6. Step 6: Final answer
    x = 286,354.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.