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Finding the Third Proportional to 153,437 and 328,196

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Solution

The third proportional to 153,437 and 328,196 is: 701,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,437 : 328,196 = 328,196 : x
  2. Step 2: Convert to fraction form
    153,437/328,196 = 328,196/x
  3. Step 3: Cross multiply
    153,437x = 328,196 × 328,196
  4. Step 4: Simplify right side
    153,437x = 107,712,614,416
  5. Step 5: Solve for x
    x = 107,712,614,416/153,437
  6. Step 6: Final answer
    x = 701,998.96

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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.