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Finding the Third Proportional to 124,818 and 269,316

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Solution

The third proportional to 124,818 and 269,316 is: 581,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,818 : 269,316 = 269,316 : x
  2. Step 2: Convert to fraction form
    124,818/269,316 = 269,316/x
  3. Step 3: Cross multiply
    124,818x = 269,316 × 269,316
  4. Step 4: Simplify right side
    124,818x = 72,531,107,856
  5. Step 5: Solve for x
    x = 72,531,107,856/124,818
  6. Step 6: Final answer
    x = 581,094.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.