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Finding the Third Proportional to 114,810.50 and 243,281

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Solution

The third proportional to 114,810.50 and 243,281 is: 515,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,810.50 : 243,281 = 243,281 : x
  2. Step 2: Convert to fraction form
    114,810.50/243,281 = 243,281/x
  3. Step 3: Cross multiply
    114,810.50x = 243,281 × 243,281
  4. Step 4: Simplify right side
    114,810.50x = 59,185,644,961
  5. Step 5: Solve for x
    x = 59,185,644,961/114,810.50
  6. Step 6: Final answer
    x = 515,507.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.