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Finding the Third Proportional to 158,594.25 and 357,112.50

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Solution

The third proportional to 158,594.25 and 357,112.50 is: 804,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,594.25 : 357,112.50 = 357,112.50 : x
  2. Step 2: Convert to fraction form
    158,594.25/357,112.50 = 357,112.50/x
  3. Step 3: Cross multiply
    158,594.25x = 357,112.50 × 357,112.50
  4. Step 4: Simplify right side
    158,594.25x = 127,529,337,656.25
  5. Step 5: Solve for x
    x = 127,529,337,656.25/158,594.25
  6. Step 6: Final answer
    x = 804,123.34

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.