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Finding the Third Proportional to 155,490 and 233,186

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Solution

The third proportional to 155,490 and 233,186 is: 349,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,490 : 233,186 = 233,186 : x
  2. Step 2: Convert to fraction form
    155,490/233,186 = 233,186/x
  3. Step 3: Cross multiply
    155,490x = 233,186 × 233,186
  4. Step 4: Simplify right side
    155,490x = 54,375,710,596
  5. Step 5: Solve for x
    x = 54,375,710,596/155,490
  6. Step 6: Final answer
    x = 349,705.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.