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Finding the Third Proportional to 152,390 and 334,300

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Solution

The third proportional to 152,390 and 334,300 is: 733,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,390 : 334,300 = 334,300 : x
  2. Step 2: Convert to fraction form
    152,390/334,300 = 334,300/x
  3. Step 3: Cross multiply
    152,390x = 334,300 × 334,300
  4. Step 4: Simplify right side
    152,390x = 111,756,490,000
  5. Step 5: Solve for x
    x = 111,756,490,000/152,390
  6. Step 6: Final answer
    x = 733,358.42

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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.