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Finding the Third Proportional to 156,061.90 and 211,488.05

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Solution

The third proportional to 156,061.90 and 211,488.05 is: 286,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,061.90 : 211,488.05 = 211,488.05 : x
  2. Step 2: Convert to fraction form
    156,061.90/211,488.05 = 211,488.05/x
  3. Step 3: Cross multiply
    156,061.90x = 211,488.05 × 211,488.05
  4. Step 4: Simplify right side
    156,061.90x = 44,727,193,971.00
  5. Step 5: Solve for x
    x = 44,727,193,971.00/156,061.90
  6. Step 6: Final answer
    x = 286,599.06

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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.