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Finding the Third Proportional to 204,768 and 310,014

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Solution

The third proportional to 204,768 and 310,014 is: 469,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,768 : 310,014 = 310,014 : x
  2. Step 2: Convert to fraction form
    204,768/310,014 = 310,014/x
  3. Step 3: Cross multiply
    204,768x = 310,014 × 310,014
  4. Step 4: Simplify right side
    204,768x = 96,108,680,196
  5. Step 5: Solve for x
    x = 96,108,680,196/204,768
  6. Step 6: Final answer
    x = 469,354.00

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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.