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Finding the Third Proportional to 282.50 and 702.50

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Solution

The third proportional to 282.50 and 702.50 is: 1,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.50 : 702.50 = 702.50 : x
  2. Step 2: Convert to fraction form
    282.50/702.50 = 702.50/x
  3. Step 3: Cross multiply
    282.50x = 702.50 × 702.50
  4. Step 4: Simplify right side
    282.50x = 493,506.25
  5. Step 5: Solve for x
    x = 493,506.25/282.50
  6. Step 6: Final answer
    x = 1,746.92

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.