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Finding the Third Proportional to 157,225.50 and 341,028

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Solution

The third proportional to 157,225.50 and 341,028 is: 739,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,225.50 : 341,028 = 341,028 : x
  2. Step 2: Convert to fraction form
    157,225.50/341,028 = 341,028/x
  3. Step 3: Cross multiply
    157,225.50x = 341,028 × 341,028
  4. Step 4: Simplify right side
    157,225.50x = 116,300,096,784
  5. Step 5: Solve for x
    x = 116,300,096,784/157,225.50
  6. Step 6: Final answer
    x = 739,702.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.