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Finding the Third Proportional to 137,416.50 and 301,927.50

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Solution

The third proportional to 137,416.50 and 301,927.50 is: 663,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,416.50 : 301,927.50 = 301,927.50 : x
  2. Step 2: Convert to fraction form
    137,416.50/301,927.50 = 301,927.50/x
  3. Step 3: Cross multiply
    137,416.50x = 301,927.50 × 301,927.50
  4. Step 4: Simplify right side
    137,416.50x = 91,160,215,256.25
  5. Step 5: Solve for x
    x = 91,160,215,256.25/137,416.50
  6. Step 6: Final answer
    x = 663,386.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.