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Finding the Third Proportional to 113,588 and 247,803

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Solution

The third proportional to 113,588 and 247,803 is: 540,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,588 : 247,803 = 247,803 : x
  2. Step 2: Convert to fraction form
    113,588/247,803 = 247,803/x
  3. Step 3: Cross multiply
    113,588x = 247,803 × 247,803
  4. Step 4: Simplify right side
    113,588x = 61,406,326,809
  5. Step 5: Solve for x
    x = 61,406,326,809/113,588
  6. Step 6: Final answer
    x = 540,605.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.