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Finding the Third Proportional to 152,704 and 334,820

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Solution

The third proportional to 152,704 and 334,820 is: 734,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,704 : 334,820 = 334,820 : x
  2. Step 2: Convert to fraction form
    152,704/334,820 = 334,820/x
  3. Step 3: Cross multiply
    152,704x = 334,820 × 334,820
  4. Step 4: Simplify right side
    152,704x = 112,104,432,400
  5. Step 5: Solve for x
    x = 112,104,432,400/152,704
  6. Step 6: Final answer
    x = 734,128.98

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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.