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Finding the Third Proportional to 152,210 and 315,028

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Solution

The third proportional to 152,210 and 315,028 is: 652,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,210 : 315,028 = 315,028 : x
  2. Step 2: Convert to fraction form
    152,210/315,028 = 315,028/x
  3. Step 3: Cross multiply
    152,210x = 315,028 × 315,028
  4. Step 4: Simplify right side
    152,210x = 99,242,640,784
  5. Step 5: Solve for x
    x = 99,242,640,784/152,210
  6. Step 6: Final answer
    x = 652,011.31

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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.