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Finding the Third Proportional to 172,570 and 403,053

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Solution

The third proportional to 172,570 and 403,053 is: 941,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,570 : 403,053 = 403,053 : x
  2. Step 2: Convert to fraction form
    172,570/403,053 = 403,053/x
  3. Step 3: Cross multiply
    172,570x = 403,053 × 403,053
  4. Step 4: Simplify right side
    172,570x = 162,451,720,809
  5. Step 5: Solve for x
    x = 162,451,720,809/172,570
  6. Step 6: Final answer
    x = 941,367.10

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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.