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Finding the Third Proportional to 157,232 and 341,040

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Solution

The third proportional to 157,232 and 341,040 is: 739,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,232 : 341,040 = 341,040 : x
  2. Step 2: Convert to fraction form
    157,232/341,040 = 341,040/x
  3. Step 3: Cross multiply
    157,232x = 341,040 × 341,040
  4. Step 4: Simplify right side
    157,232x = 116,308,281,600
  5. Step 5: Solve for x
    x = 116,308,281,600/157,232
  6. Step 6: Final answer
    x = 739,723.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.