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Finding the Third Proportional to 158,775.19 and 232,330.78

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Solution

The third proportional to 158,775.19 and 232,330.78 is: 339,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,775.19 : 232,330.78 = 232,330.78 : x
  2. Step 2: Convert to fraction form
    158,775.19/232,330.78 = 232,330.78/x
  3. Step 3: Cross multiply
    158,775.19x = 232,330.78 × 232,330.78
  4. Step 4: Simplify right side
    158,775.19x = 53,977,591,916.24
  5. Step 5: Solve for x
    x = 53,977,591,916.24/158,775.19
  6. Step 6: Final answer
    x = 339,962.39

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.