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Finding the Third Proportional to 113,866 and 243,497.50

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Solution

The third proportional to 113,866 and 243,497.50 is: 520,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,866 : 243,497.50 = 243,497.50 : x
  2. Step 2: Convert to fraction form
    113,866/243,497.50 = 243,497.50/x
  3. Step 3: Cross multiply
    113,866x = 243,497.50 × 243,497.50
  4. Step 4: Simplify right side
    113,866x = 59,291,032,506.25
  5. Step 5: Solve for x
    x = 59,291,032,506.25/113,866
  6. Step 6: Final answer
    x = 520,708.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.