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Finding the Third Proportional to 178,490 and 276,527

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Solution

The third proportional to 178,490 and 276,527 is: 428,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,490 : 276,527 = 276,527 : x
  2. Step 2: Convert to fraction form
    178,490/276,527 = 276,527/x
  3. Step 3: Cross multiply
    178,490x = 276,527 × 276,527
  4. Step 4: Simplify right side
    178,490x = 76,467,181,729
  5. Step 5: Solve for x
    x = 76,467,181,729/178,490
  6. Step 6: Final answer
    x = 428,411.57

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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.