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Finding the Third Proportional to 153,064 and 205,284

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Solution

The third proportional to 153,064 and 205,284 is: 275,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,064 : 205,284 = 205,284 : x
  2. Step 2: Convert to fraction form
    153,064/205,284 = 205,284/x
  3. Step 3: Cross multiply
    153,064x = 205,284 × 205,284
  4. Step 4: Simplify right side
    153,064x = 42,141,520,656
  5. Step 5: Solve for x
    x = 42,141,520,656/153,064
  6. Step 6: Final answer
    x = 275,319.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.