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Finding the Third Proportional to 160,239 and 232,096.50

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Solution

The third proportional to 160,239 and 232,096.50 is: 336,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,239 : 232,096.50 = 232,096.50 : x
  2. Step 2: Convert to fraction form
    160,239/232,096.50 = 232,096.50/x
  3. Step 3: Cross multiply
    160,239x = 232,096.50 × 232,096.50
  4. Step 4: Simplify right side
    160,239x = 53,868,785,312.25
  5. Step 5: Solve for x
    x = 53,868,785,312.25/160,239
  6. Step 6: Final answer
    x = 336,177.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.