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Finding the Third Proportional to 235,206 and 508,140

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Solution

The third proportional to 235,206 and 508,140 is: 1,097,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,206 : 508,140 = 508,140 : x
  2. Step 2: Convert to fraction form
    235,206/508,140 = 508,140/x
  3. Step 3: Cross multiply
    235,206x = 508,140 × 508,140
  4. Step 4: Simplify right side
    235,206x = 258,206,259,600
  5. Step 5: Solve for x
    x = 258,206,259,600/235,206
  6. Step 6: Final answer
    x = 1,097,787.72

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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.