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Finding the Third Proportional to 133,851 and 215,248.50

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Solution

The third proportional to 133,851 and 215,248.50 is: 346,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,851 : 215,248.50 = 215,248.50 : x
  2. Step 2: Convert to fraction form
    133,851/215,248.50 = 215,248.50/x
  3. Step 3: Cross multiply
    133,851x = 215,248.50 × 215,248.50
  4. Step 4: Simplify right side
    133,851x = 46,331,916,752.25
  5. Step 5: Solve for x
    x = 46,331,916,752.25/133,851
  6. Step 6: Final answer
    x = 346,145.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.