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Finding the Third Proportional to 152,488 and 315,368

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Solution

The third proportional to 152,488 and 315,368 is: 652,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,488 : 315,368 = 315,368 : x
  2. Step 2: Convert to fraction form
    152,488/315,368 = 315,368/x
  3. Step 3: Cross multiply
    152,488x = 315,368 × 315,368
  4. Step 4: Simplify right side
    152,488x = 99,456,975,424
  5. Step 5: Solve for x
    x = 99,456,975,424/152,488
  6. Step 6: Final answer
    x = 652,228.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.