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Finding the Third Proportional to 153,414 and 334,719

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Solution

The third proportional to 153,414 and 334,719 is: 730,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,414 : 334,719 = 334,719 : x
  2. Step 2: Convert to fraction form
    153,414/334,719 = 334,719/x
  3. Step 3: Cross multiply
    153,414x = 334,719 × 334,719
  4. Step 4: Simplify right side
    153,414x = 112,036,808,961
  5. Step 5: Solve for x
    x = 112,036,808,961/153,414
  6. Step 6: Final answer
    x = 730,290.64

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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.