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Finding the Third Proportional to 172,497.09 and 402,922.69

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Solution

The third proportional to 172,497.09 and 402,922.69 is: 941,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,497.09 : 402,922.69 = 402,922.69 : x
  2. Step 2: Convert to fraction form
    172,497.09/402,922.69 = 402,922.69/x
  3. Step 3: Cross multiply
    172,497.09x = 402,922.69 × 402,922.69
  4. Step 4: Simplify right side
    172,497.09x = 162,346,692,102.22
  5. Step 5: Solve for x
    x = 162,346,692,102.22/172,497.09
  6. Step 6: Final answer
    x = 941,156.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.