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Finding the Third Proportional to 152,131.50 and 314,901

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Solution

The third proportional to 152,131.50 and 314,901 is: 651,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,131.50 : 314,901 = 314,901 : x
  2. Step 2: Convert to fraction form
    152,131.50/314,901 = 314,901/x
  3. Step 3: Cross multiply
    152,131.50x = 314,901 × 314,901
  4. Step 4: Simplify right side
    152,131.50x = 99,162,639,801
  5. Step 5: Solve for x
    x = 99,162,639,801/152,131.50
  6. Step 6: Final answer
    x = 651,821.88

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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.