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Finding the Third Proportional to 114,888 and 243,024

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Solution

The third proportional to 114,888 and 243,024 is: 514,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,888 : 243,024 = 243,024 : x
  2. Step 2: Convert to fraction form
    114,888/243,024 = 243,024/x
  3. Step 3: Cross multiply
    114,888x = 243,024 × 243,024
  4. Step 4: Simplify right side
    114,888x = 59,060,664,576
  5. Step 5: Solve for x
    x = 59,060,664,576/114,888
  6. Step 6: Final answer
    x = 514,071.66

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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.