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Finding the Third Proportional to 152,928 and 316,610

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Solution

The third proportional to 152,928 and 316,610 is: 655,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,928 : 316,610 = 316,610 : x
  2. Step 2: Convert to fraction form
    152,928/316,610 = 316,610/x
  3. Step 3: Cross multiply
    152,928x = 316,610 × 316,610
  4. Step 4: Simplify right side
    152,928x = 100,241,892,100
  5. Step 5: Solve for x
    x = 100,241,892,100/152,928
  6. Step 6: Final answer
    x = 655,484.23

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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.