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Finding the Third Proportional to 114,798 and 252,316

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Solution

The third proportional to 114,798 and 252,316 is: 554,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,798 : 252,316 = 252,316 : x
  2. Step 2: Convert to fraction form
    114,798/252,316 = 252,316/x
  3. Step 3: Cross multiply
    114,798x = 252,316 × 252,316
  4. Step 4: Simplify right side
    114,798x = 63,663,363,856
  5. Step 5: Solve for x
    x = 63,663,363,856/114,798
  6. Step 6: Final answer
    x = 554,568.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.