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Finding the Third Proportional to 153,720 and 334,368

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Solution

The third proportional to 153,720 and 334,368 is: 727,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,720 : 334,368 = 334,368 : x
  2. Step 2: Convert to fraction form
    153,720/334,368 = 334,368/x
  3. Step 3: Cross multiply
    153,720x = 334,368 × 334,368
  4. Step 4: Simplify right side
    153,720x = 111,801,959,424
  5. Step 5: Solve for x
    x = 111,801,959,424/153,720
  6. Step 6: Final answer
    x = 727,309.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.