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Finding the Third Proportional to 119,602 and 251,596

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Solution

The third proportional to 119,602 and 251,596 is: 529,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,602 : 251,596 = 251,596 : x
  2. Step 2: Convert to fraction form
    119,602/251,596 = 251,596/x
  3. Step 3: Cross multiply
    119,602x = 251,596 × 251,596
  4. Step 4: Simplify right side
    119,602x = 63,300,547,216
  5. Step 5: Solve for x
    x = 63,300,547,216/119,602
  6. Step 6: Final answer
    x = 529,259.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.