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Finding the Third Proportional to 191,564 and 416,284

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Solution

The third proportional to 191,564 and 416,284 is: 904,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,564 : 416,284 = 416,284 : x
  2. Step 2: Convert to fraction form
    191,564/416,284 = 416,284/x
  3. Step 3: Cross multiply
    191,564x = 416,284 × 416,284
  4. Step 4: Simplify right side
    191,564x = 173,292,368,656
  5. Step 5: Solve for x
    x = 173,292,368,656/191,564
  6. Step 6: Final answer
    x = 904,618.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.