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Finding the Third Proportional to 152,815 and 334,028

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Solution

The third proportional to 152,815 and 334,028 is: 730,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,815 : 334,028 = 334,028 : x
  2. Step 2: Convert to fraction form
    152,815/334,028 = 334,028/x
  3. Step 3: Cross multiply
    152,815x = 334,028 × 334,028
  4. Step 4: Simplify right side
    152,815x = 111,574,704,784
  5. Step 5: Solve for x
    x = 111,574,704,784/152,815
  6. Step 6: Final answer
    x = 730,129.27

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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.