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Finding the Third Proportional to 153,416 and 334,723

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Solution

The third proportional to 153,416 and 334,723 is: 730,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,416 : 334,723 = 334,723 : x
  2. Step 2: Convert to fraction form
    153,416/334,723 = 334,723/x
  3. Step 3: Cross multiply
    153,416x = 334,723 × 334,723
  4. Step 4: Simplify right side
    153,416x = 112,039,486,729
  5. Step 5: Solve for x
    x = 112,039,486,729/153,416
  6. Step 6: Final answer
    x = 730,298.58

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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.