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Finding the Third Proportional to 160,227 and 370,915.50

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Solution

The third proportional to 160,227 and 370,915.50 is: 858,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,227 : 370,915.50 = 370,915.50 : x
  2. Step 2: Convert to fraction form
    160,227/370,915.50 = 370,915.50/x
  3. Step 3: Cross multiply
    160,227x = 370,915.50 × 370,915.50
  4. Step 4: Simplify right side
    160,227x = 137,578,308,140.25
  5. Step 5: Solve for x
    x = 137,578,308,140.25/160,227
  6. Step 6: Final answer
    x = 858,646.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.