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Finding the Third Proportional to 148,437 and 302,058

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Solution

The third proportional to 148,437 and 302,058 is: 614,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,437 : 302,058 = 302,058 : x
  2. Step 2: Convert to fraction form
    148,437/302,058 = 302,058/x
  3. Step 3: Cross multiply
    148,437x = 302,058 × 302,058
  4. Step 4: Simplify right side
    148,437x = 91,239,035,364
  5. Step 5: Solve for x
    x = 91,239,035,364/148,437
  6. Step 6: Final answer
    x = 614,665.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.