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Finding the Third Proportional to 155,252 and 240,465

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Solution

The third proportional to 155,252 and 240,465 is: 372,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,252 : 240,465 = 240,465 : x
  2. Step 2: Convert to fraction form
    155,252/240,465 = 240,465/x
  3. Step 3: Cross multiply
    155,252x = 240,465 × 240,465
  4. Step 4: Simplify right side
    155,252x = 57,823,416,225
  5. Step 5: Solve for x
    x = 57,823,416,225/155,252
  6. Step 6: Final answer
    x = 372,448.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.