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Finding the Third Proportional to 152,294 and 330,724

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Solution

The third proportional to 152,294 and 330,724 is: 718,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,294 : 330,724 = 330,724 : x
  2. Step 2: Convert to fraction form
    152,294/330,724 = 330,724/x
  3. Step 3: Cross multiply
    152,294x = 330,724 × 330,724
  4. Step 4: Simplify right side
    152,294x = 109,378,364,176
  5. Step 5: Solve for x
    x = 109,378,364,176/152,294
  6. Step 6: Final answer
    x = 718,205.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.