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Finding the Third Proportional to 147,865.50 and 229,381.88

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Solution

The third proportional to 147,865.50 and 229,381.88 is: 355,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,865.50 : 229,381.88 = 229,381.88 : x
  2. Step 2: Convert to fraction form
    147,865.50/229,381.88 = 229,381.88/x
  3. Step 3: Cross multiply
    147,865.50x = 229,381.88 × 229,381.88
  4. Step 4: Simplify right side
    147,865.50x = 52,616,044,578.52
  5. Step 5: Solve for x
    x = 52,616,044,578.52/147,865.50
  6. Step 6: Final answer
    x = 355,837.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.