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Finding the Third Proportional to 155,502 and 240,126

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Solution

The third proportional to 155,502 and 240,126 is: 370,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,502 : 240,126 = 240,126 : x
  2. Step 2: Convert to fraction form
    155,502/240,126 = 240,126/x
  3. Step 3: Cross multiply
    155,502x = 240,126 × 240,126
  4. Step 4: Simplify right side
    155,502x = 57,660,495,876
  5. Step 5: Solve for x
    x = 57,660,495,876/155,502
  6. Step 6: Final answer
    x = 370,802.28

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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.