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Finding the Third Proportional to 155,441 and 240,034

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Solution

The third proportional to 155,441 and 240,034 is: 370,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,441 : 240,034 = 240,034 : x
  2. Step 2: Convert to fraction form
    155,441/240,034 = 240,034/x
  3. Step 3: Cross multiply
    155,441x = 240,034 × 240,034
  4. Step 4: Simplify right side
    155,441x = 57,616,321,156
  5. Step 5: Solve for x
    x = 57,616,321,156/155,441
  6. Step 6: Final answer
    x = 370,663.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.