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Finding the Third Proportional to 157,731.75 and 340,897.50

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Solution

The third proportional to 157,731.75 and 340,897.50 is: 736,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,731.75 : 340,897.50 = 340,897.50 : x
  2. Step 2: Convert to fraction form
    157,731.75/340,897.50 = 340,897.50/x
  3. Step 3: Cross multiply
    157,731.75x = 340,897.50 × 340,897.50
  4. Step 4: Simplify right side
    157,731.75x = 116,211,105,506.25
  5. Step 5: Solve for x
    x = 116,211,105,506.25/157,731.75
  6. Step 6: Final answer
    x = 736,764.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.