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Finding the Third Proportional to 152,570.25 and 332,263

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Solution

The third proportional to 152,570.25 and 332,263 is: 723,592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,570.25 : 332,263 = 332,263 : x
  2. Step 2: Convert to fraction form
    152,570.25/332,263 = 332,263/x
  3. Step 3: Cross multiply
    152,570.25x = 332,263 × 332,263
  4. Step 4: Simplify right side
    152,570.25x = 110,398,701,169
  5. Step 5: Solve for x
    x = 110,398,701,169/152,570.25
  6. Step 6: Final answer
    x = 723,592.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.