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Finding the Third Proportional to 157,047 and 344,000

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Solution

The third proportional to 157,047 and 344,000 is: 753,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,047 : 344,000 = 344,000 : x
  2. Step 2: Convert to fraction form
    157,047/344,000 = 344,000/x
  3. Step 3: Cross multiply
    157,047x = 344,000 × 344,000
  4. Step 4: Simplify right side
    157,047x = 118,336,000,000
  5. Step 5: Solve for x
    x = 118,336,000,000/157,047
  6. Step 6: Final answer
    x = 753,506.91

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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.