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Finding the Third Proportional to 125,202 and 295,260

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Solution

The third proportional to 125,202 and 295,260 is: 696,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,202 : 295,260 = 295,260 : x
  2. Step 2: Convert to fraction form
    125,202/295,260 = 295,260/x
  3. Step 3: Cross multiply
    125,202x = 295,260 × 295,260
  4. Step 4: Simplify right side
    125,202x = 87,178,467,600
  5. Step 5: Solve for x
    x = 87,178,467,600/125,202
  6. Step 6: Final answer
    x = 696,302.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.