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Finding the Third Proportional to 141,836 and 215,700

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Solution

The third proportional to 141,836 and 215,700 is: 328,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,836 : 215,700 = 215,700 : x
  2. Step 2: Convert to fraction form
    141,836/215,700 = 215,700/x
  3. Step 3: Cross multiply
    141,836x = 215,700 × 215,700
  4. Step 4: Simplify right side
    141,836x = 46,526,490,000
  5. Step 5: Solve for x
    x = 46,526,490,000/141,836
  6. Step 6: Final answer
    x = 328,030.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.