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Finding the Third Proportional to 160,683.75 and 306,787.50

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Solution

The third proportional to 160,683.75 and 306,787.50 is: 585,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,683.75 : 306,787.50 = 306,787.50 : x
  2. Step 2: Convert to fraction form
    160,683.75/306,787.50 = 306,787.50/x
  3. Step 3: Cross multiply
    160,683.75x = 306,787.50 × 306,787.50
  4. Step 4: Simplify right side
    160,683.75x = 94,118,570,156.25
  5. Step 5: Solve for x
    x = 94,118,570,156.25/160,683.75
  6. Step 6: Final answer
    x = 585,737.95

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.