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Finding the Third Proportional to 84,416 and 184,514

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Solution

The third proportional to 84,416 and 184,514 is: 403,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,416 : 184,514 = 184,514 : x
  2. Step 2: Convert to fraction form
    84,416/184,514 = 184,514/x
  3. Step 3: Cross multiply
    84,416x = 184,514 × 184,514
  4. Step 4: Simplify right side
    84,416x = 34,045,416,196
  5. Step 5: Solve for x
    x = 34,045,416,196/84,416
  6. Step 6: Final answer
    x = 403,305.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.