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Finding the Third Proportional to 157,058 and 348,964

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Solution

The third proportional to 157,058 and 348,964 is: 775,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,058 : 348,964 = 348,964 : x
  2. Step 2: Convert to fraction form
    157,058/348,964 = 348,964/x
  3. Step 3: Cross multiply
    157,058x = 348,964 × 348,964
  4. Step 4: Simplify right side
    157,058x = 121,775,873,296
  5. Step 5: Solve for x
    x = 121,775,873,296/157,058
  6. Step 6: Final answer
    x = 775,356.07

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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.