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Finding the Third Proportional to 157,060 and 348,968

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Solution

The third proportional to 157,060 and 348,968 is: 775,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,060 : 348,968 = 348,968 : x
  2. Step 2: Convert to fraction form
    157,060/348,968 = 348,968/x
  3. Step 3: Cross multiply
    157,060x = 348,968 × 348,968
  4. Step 4: Simplify right side
    157,060x = 121,778,665,024
  5. Step 5: Solve for x
    x = 121,778,665,024/157,060
  6. Step 6: Final answer
    x = 775,363.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.