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Finding the Third Proportional to 160,516.50 and 238,464

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Solution

The third proportional to 160,516.50 and 238,464 is: 354,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,516.50 : 238,464 = 238,464 : x
  2. Step 2: Convert to fraction form
    160,516.50/238,464 = 238,464/x
  3. Step 3: Cross multiply
    160,516.50x = 238,464 × 238,464
  4. Step 4: Simplify right side
    160,516.50x = 56,865,079,296
  5. Step 5: Solve for x
    x = 56,865,079,296/160,516.50
  6. Step 6: Final answer
    x = 354,263.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.