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Finding the Third Proportional to 208,862.25 and 456,847.50

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Solution

The third proportional to 208,862.25 and 456,847.50 is: 999,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,862.25 : 456,847.50 = 456,847.50 : x
  2. Step 2: Convert to fraction form
    208,862.25/456,847.50 = 456,847.50/x
  3. Step 3: Cross multiply
    208,862.25x = 456,847.50 × 456,847.50
  4. Step 4: Simplify right side
    208,862.25x = 208,709,638,256.25
  5. Step 5: Solve for x
    x = 208,709,638,256.25/208,862.25
  6. Step 6: Final answer
    x = 999,269.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.