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Finding the Third Proportional to 187,506 and 416,484

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Solution

The third proportional to 187,506 and 416,484 is: 925,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,506 : 416,484 = 416,484 : x
  2. Step 2: Convert to fraction form
    187,506/416,484 = 416,484/x
  3. Step 3: Cross multiply
    187,506x = 416,484 × 416,484
  4. Step 4: Simplify right side
    187,506x = 173,458,922,256
  5. Step 5: Solve for x
    x = 173,458,922,256/187,506
  6. Step 6: Final answer
    x = 925,084.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.