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Finding the Third Proportional to 152,473.50 and 334,386

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Solution

The third proportional to 152,473.50 and 334,386 is: 733,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,473.50 : 334,386 = 334,386 : x
  2. Step 2: Convert to fraction form
    152,473.50/334,386 = 334,386/x
  3. Step 3: Cross multiply
    152,473.50x = 334,386 × 334,386
  4. Step 4: Simplify right side
    152,473.50x = 111,813,996,996
  5. Step 5: Solve for x
    x = 111,813,996,996/152,473.50
  6. Step 6: Final answer
    x = 733,333.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.