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Finding the Third Proportional to 155,152 and 337,952

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Solution

The third proportional to 155,152 and 337,952 is: 736,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,152 : 337,952 = 337,952 : x
  2. Step 2: Convert to fraction form
    155,152/337,952 = 337,952/x
  3. Step 3: Cross multiply
    155,152x = 337,952 × 337,952
  4. Step 4: Simplify right side
    155,152x = 114,211,554,304
  5. Step 5: Solve for x
    x = 114,211,554,304/155,152
  6. Step 6: Final answer
    x = 736,126.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.