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Finding the Third Proportional to 148,705.88 and 211,987.13

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Solution

The third proportional to 148,705.88 and 211,987.13 is: 302,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,705.88 : 211,987.13 = 211,987.13 : x
  2. Step 2: Convert to fraction form
    148,705.88/211,987.13 = 211,987.13/x
  3. Step 3: Cross multiply
    148,705.88x = 211,987.13 × 211,987.13
  4. Step 4: Simplify right side
    148,705.88x = 44,938,541,165.77
  5. Step 5: Solve for x
    x = 44,938,541,165.77/148,705.88
  6. Step 6: Final answer
    x = 302,197.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.