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Finding the Third Proportional to 223,108.17 and 325,316.25

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Solution

The third proportional to 223,108.17 and 325,316.25 is: 474,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,108.17 : 325,316.25 = 325,316.25 : x
  2. Step 2: Convert to fraction form
    223,108.17/325,316.25 = 325,316.25/x
  3. Step 3: Cross multiply
    223,108.17x = 325,316.25 × 325,316.25
  4. Step 4: Simplify right side
    223,108.17x = 105,830,662,514.06
  5. Step 5: Solve for x
    x = 105,830,662,514.06/223,108.17
  6. Step 6: Final answer
    x = 474,346.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.