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Finding the Third Proportional to 114,798 and 243,492

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Solution

The third proportional to 114,798 and 243,492 is: 516,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,798 : 243,492 = 243,492 : x
  2. Step 2: Convert to fraction form
    114,798/243,492 = 243,492/x
  3. Step 3: Cross multiply
    114,798x = 243,492 × 243,492
  4. Step 4: Simplify right side
    114,798x = 59,288,354,064
  5. Step 5: Solve for x
    x = 59,288,354,064/114,798
  6. Step 6: Final answer
    x = 516,458.07

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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.