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Finding the Third Proportional to 229,465.88 and 322,567.88

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Solution

The third proportional to 229,465.88 and 322,567.88 is: 453,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,465.88 : 322,567.88 = 322,567.88 : x
  2. Step 2: Convert to fraction form
    229,465.88/322,567.88 = 322,567.88/x
  3. Step 3: Cross multiply
    229,465.88x = 322,567.88 × 322,567.88
  4. Step 4: Simplify right side
    229,465.88x = 104,050,033,982.02
  5. Step 5: Solve for x
    x = 104,050,033,982.02/229,465.88
  6. Step 6: Final answer
    x = 453,444.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.