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Finding the Third Proportional to 160,438.50 and 254,265.75

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Solution

The third proportional to 160,438.50 and 254,265.75 is: 402,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,438.50 : 254,265.75 = 254,265.75 : x
  2. Step 2: Convert to fraction form
    160,438.50/254,265.75 = 254,265.75/x
  3. Step 3: Cross multiply
    160,438.50x = 254,265.75 × 254,265.75
  4. Step 4: Simplify right side
    160,438.50x = 64,651,071,623.06
  5. Step 5: Solve for x
    x = 64,651,071,623.06/160,438.50
  6. Step 6: Final answer
    x = 402,964.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.