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Finding the Third Proportional to 181,407 and 286,023

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Solution

The third proportional to 181,407 and 286,023 is: 450,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,407 : 286,023 = 286,023 : x
  2. Step 2: Convert to fraction form
    181,407/286,023 = 286,023/x
  3. Step 3: Cross multiply
    181,407x = 286,023 × 286,023
  4. Step 4: Simplify right side
    181,407x = 81,809,156,529
  5. Step 5: Solve for x
    x = 81,809,156,529/181,407
  6. Step 6: Final answer
    x = 450,970.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.