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Finding the Third Proportional to 153,421.50 and 328,167

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Solution

The third proportional to 153,421.50 and 328,167 is: 701,945.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,421.50 : 328,167 = 328,167 : x
  2. Step 2: Convert to fraction form
    153,421.50/328,167 = 328,167/x
  3. Step 3: Cross multiply
    153,421.50x = 328,167 × 328,167
  4. Step 4: Simplify right side
    153,421.50x = 107,693,579,889
  5. Step 5: Solve for x
    x = 107,693,579,889/153,421.50
  6. Step 6: Final answer
    x = 701,945.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.