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Finding the Third Proportional to 153,724 and 334,376

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Solution

The third proportional to 153,724 and 334,376 is: 727,325.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,724 : 334,376 = 334,376 : x
  2. Step 2: Convert to fraction form
    153,724/334,376 = 334,376/x
  3. Step 3: Cross multiply
    153,724x = 334,376 × 334,376
  4. Step 4: Simplify right side
    153,724x = 111,807,309,376
  5. Step 5: Solve for x
    x = 111,807,309,376/153,724
  6. Step 6: Final answer
    x = 727,325.01

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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.