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Finding the Third Proportional to 157,038 and 348,905

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Solution

The third proportional to 157,038 and 348,905 is: 775,192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,038 : 348,905 = 348,905 : x
  2. Step 2: Convert to fraction form
    157,038/348,905 = 348,905/x
  3. Step 3: Cross multiply
    157,038x = 348,905 × 348,905
  4. Step 4: Simplify right side
    157,038x = 121,734,699,025
  5. Step 5: Solve for x
    x = 121,734,699,025/157,038
  6. Step 6: Final answer
    x = 775,192.62

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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.