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Finding the Third Proportional to 152,342 and 334,222

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Solution

The third proportional to 152,342 and 334,222 is: 733,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,342 : 334,222 = 334,222 : x
  2. Step 2: Convert to fraction form
    152,342/334,222 = 334,222/x
  3. Step 3: Cross multiply
    152,342x = 334,222 × 334,222
  4. Step 4: Simplify right side
    152,342x = 111,704,345,284
  5. Step 5: Solve for x
    x = 111,704,345,284/152,342
  6. Step 6: Final answer
    x = 733,247.20

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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.