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Finding the Third Proportional to 157,858.88 and 337,837.50

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Solution

The third proportional to 157,858.88 and 337,837.50 is: 723,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,858.88 : 337,837.50 = 337,837.50 : x
  2. Step 2: Convert to fraction form
    157,858.88/337,837.50 = 337,837.50/x
  3. Step 3: Cross multiply
    157,858.88x = 337,837.50 × 337,837.50
  4. Step 4: Simplify right side
    157,858.88x = 114,134,176,406.25
  5. Step 5: Solve for x
    x = 114,134,176,406.25/157,858.88
  6. Step 6: Final answer
    x = 723,014.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.