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Finding the Third Proportional to 248,967 and 377,210.25

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Solution

The third proportional to 248,967 and 377,210.25 is: 571,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,967 : 377,210.25 = 377,210.25 : x
  2. Step 2: Convert to fraction form
    248,967/377,210.25 = 377,210.25/x
  3. Step 3: Cross multiply
    248,967x = 377,210.25 × 377,210.25
  4. Step 4: Simplify right side
    248,967x = 142,287,572,705.06
  5. Step 5: Solve for x
    x = 142,287,572,705.06/248,967
  6. Step 6: Final answer
    x = 571,511.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.