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Finding the Third Proportional to 171,526 and 265,065

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Solution

The third proportional to 171,526 and 265,065 is: 409,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,526 : 265,065 = 265,065 : x
  2. Step 2: Convert to fraction form
    171,526/265,065 = 265,065/x
  3. Step 3: Cross multiply
    171,526x = 265,065 × 265,065
  4. Step 4: Simplify right side
    171,526x = 70,259,454,225
  5. Step 5: Solve for x
    x = 70,259,454,225/171,526
  6. Step 6: Final answer
    x = 409,614.02

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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.