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Finding the Third Proportional to 152,420 and 334,352

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Solution

The third proportional to 152,420 and 334,352 is: 733,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,420 : 334,352 = 334,352 : x
  2. Step 2: Convert to fraction form
    152,420/334,352 = 334,352/x
  3. Step 3: Cross multiply
    152,420x = 334,352 × 334,352
  4. Step 4: Simplify right side
    152,420x = 111,791,259,904
  5. Step 5: Solve for x
    x = 111,791,259,904/152,420
  6. Step 6: Final answer
    x = 733,442.20

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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.