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Finding the Third Proportional to 141,490 and 214,058

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Solution

The third proportional to 141,490 and 214,058 is: 323,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,490 : 214,058 = 214,058 : x
  2. Step 2: Convert to fraction form
    141,490/214,058 = 214,058/x
  3. Step 3: Cross multiply
    141,490x = 214,058 × 214,058
  4. Step 4: Simplify right side
    141,490x = 45,820,827,364
  5. Step 5: Solve for x
    x = 45,820,827,364/141,490
  6. Step 6: Final answer
    x = 323,844.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.