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Finding the Third Proportional to 109,473 and 236,046

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Solution

The third proportional to 109,473 and 236,046 is: 508,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,473 : 236,046 = 236,046 : x
  2. Step 2: Convert to fraction form
    109,473/236,046 = 236,046/x
  3. Step 3: Cross multiply
    109,473x = 236,046 × 236,046
  4. Step 4: Simplify right side
    109,473x = 55,717,714,116
  5. Step 5: Solve for x
    x = 55,717,714,116/109,473
  6. Step 6: Final answer
    x = 508,963.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.