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Finding the Third Proportional to 157,061 and 370,721

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Solution

The third proportional to 157,061 and 370,721 is: 875,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,061 : 370,721 = 370,721 : x
  2. Step 2: Convert to fraction form
    157,061/370,721 = 370,721/x
  3. Step 3: Cross multiply
    157,061x = 370,721 × 370,721
  4. Step 4: Simplify right side
    157,061x = 137,434,059,841
  5. Step 5: Solve for x
    x = 137,434,059,841/157,061
  6. Step 6: Final answer
    x = 875,036.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.