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Finding the Third Proportional to 160,142 and 235,604

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Solution

The third proportional to 160,142 and 235,604 is: 346,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,142 : 235,604 = 235,604 : x
  2. Step 2: Convert to fraction form
    160,142/235,604 = 235,604/x
  3. Step 3: Cross multiply
    160,142x = 235,604 × 235,604
  4. Step 4: Simplify right side
    160,142x = 55,509,244,816
  5. Step 5: Solve for x
    x = 55,509,244,816/160,142
  6. Step 6: Final answer
    x = 346,625.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.