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Finding the Third Proportional to 152,700 and 334,812

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Solution

The third proportional to 152,700 and 334,812 is: 734,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,700 : 334,812 = 334,812 : x
  2. Step 2: Convert to fraction form
    152,700/334,812 = 334,812/x
  3. Step 3: Cross multiply
    152,700x = 334,812 × 334,812
  4. Step 4: Simplify right side
    152,700x = 112,099,075,344
  5. Step 5: Solve for x
    x = 112,099,075,344/152,700
  6. Step 6: Final answer
    x = 734,113.13

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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.