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Finding the Third Proportional to 112,943 and 245,563

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Solution

The third proportional to 112,943 and 245,563 is: 533,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,943 : 245,563 = 245,563 : x
  2. Step 2: Convert to fraction form
    112,943/245,563 = 245,563/x
  3. Step 3: Cross multiply
    112,943x = 245,563 × 245,563
  4. Step 4: Simplify right side
    112,943x = 60,301,186,969
  5. Step 5: Solve for x
    x = 60,301,186,969/112,943
  6. Step 6: Final answer
    x = 533,908.14

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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.