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Finding the Third Proportional to 155,527 and 340,624

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Solution

The third proportional to 155,527 and 340,624 is: 746,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,527 : 340,624 = 340,624 : x
  2. Step 2: Convert to fraction form
    155,527/340,624 = 340,624/x
  3. Step 3: Cross multiply
    155,527x = 340,624 × 340,624
  4. Step 4: Simplify right side
    155,527x = 116,024,709,376
  5. Step 5: Solve for x
    x = 116,024,709,376/155,527
  6. Step 6: Final answer
    x = 746,010.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.