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Finding the Third Proportional to 239,898 and 358,527

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Solution

The third proportional to 239,898 and 358,527 is: 535,817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,898 : 358,527 = 358,527 : x
  2. Step 2: Convert to fraction form
    239,898/358,527 = 358,527/x
  3. Step 3: Cross multiply
    239,898x = 358,527 × 358,527
  4. Step 4: Simplify right side
    239,898x = 128,541,609,729
  5. Step 5: Solve for x
    x = 128,541,609,729/239,898
  6. Step 6: Final answer
    x = 535,817.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.