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Finding the Third Proportional to 256,852.50 and 402,911.25

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Solution

The third proportional to 256,852.50 and 402,911.25 is: 632,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,852.50 : 402,911.25 = 402,911.25 : x
  2. Step 2: Convert to fraction form
    256,852.50/402,911.25 = 402,911.25/x
  3. Step 3: Cross multiply
    256,852.50x = 402,911.25 × 402,911.25
  4. Step 4: Simplify right side
    256,852.50x = 162,337,475,376.56
  5. Step 5: Solve for x
    x = 162,337,475,376.56/256,852.50
  6. Step 6: Final answer
    x = 632,026.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.