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Finding the Third Proportional to 152,724 and 315,924

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Solution

The third proportional to 152,724 and 315,924 is: 653,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,724 : 315,924 = 315,924 : x
  2. Step 2: Convert to fraction form
    152,724/315,924 = 315,924/x
  3. Step 3: Cross multiply
    152,724x = 315,924 × 315,924
  4. Step 4: Simplify right side
    152,724x = 99,807,973,776
  5. Step 5: Solve for x
    x = 99,807,973,776/152,724
  6. Step 6: Final answer
    x = 653,518.59

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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.