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Finding the Third Proportional to 118,822.13 and 256,307.63

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Solution

The third proportional to 118,822.13 and 256,307.63 is: 552,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,822.13 : 256,307.63 = 256,307.63 : x
  2. Step 2: Convert to fraction form
    118,822.13/256,307.63 = 256,307.63/x
  3. Step 3: Cross multiply
    118,822.13x = 256,307.63 × 256,307.63
  4. Step 4: Simplify right side
    118,822.13x = 65,693,598,633.14
  5. Step 5: Solve for x
    x = 65,693,598,633.14/118,822.13
  6. Step 6: Final answer
    x = 552,873.45

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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.