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Finding the Third Proportional to 148,348.13 and 235,856.81

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Solution

The third proportional to 148,348.13 and 235,856.81 is: 374,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,348.13 : 235,856.81 = 235,856.81 : x
  2. Step 2: Convert to fraction form
    148,348.13/235,856.81 = 235,856.81/x
  3. Step 3: Cross multiply
    148,348.13x = 235,856.81 × 235,856.81
  4. Step 4: Simplify right side
    148,348.13x = 55,628,436,002.66
  5. Step 5: Solve for x
    x = 55,628,436,002.66/148,348.13
  6. Step 6: Final answer
    x = 374,985.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.