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Finding the Third Proportional to 145,407 and 304,058

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Solution

The third proportional to 145,407 and 304,058 is: 635,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,407 : 304,058 = 304,058 : x
  2. Step 2: Convert to fraction form
    145,407/304,058 = 304,058/x
  3. Step 3: Cross multiply
    145,407x = 304,058 × 304,058
  4. Step 4: Simplify right side
    145,407x = 92,451,267,364
  5. Step 5: Solve for x
    x = 92,451,267,364/145,407
  6. Step 6: Final answer
    x = 635,810.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.