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Finding the Third Proportional to 160,952 and 232,138

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Solution

The third proportional to 160,952 and 232,138 is: 334,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,952 : 232,138 = 232,138 : x
  2. Step 2: Convert to fraction form
    160,952/232,138 = 232,138/x
  3. Step 3: Cross multiply
    160,952x = 232,138 × 232,138
  4. Step 4: Simplify right side
    160,952x = 53,888,051,044
  5. Step 5: Solve for x
    x = 53,888,051,044/160,952
  6. Step 6: Final answer
    x = 334,808.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.