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Finding the Third Proportional to 172,076 and 370,516

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Solution

The third proportional to 172,076 and 370,516 is: 797,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,076 : 370,516 = 370,516 : x
  2. Step 2: Convert to fraction form
    172,076/370,516 = 370,516/x
  3. Step 3: Cross multiply
    172,076x = 370,516 × 370,516
  4. Step 4: Simplify right side
    172,076x = 137,282,106,256
  5. Step 5: Solve for x
    x = 137,282,106,256/172,076
  6. Step 6: Final answer
    x = 797,799.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.