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Finding the Third Proportional to 201,578.50 and 423,843.50

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Solution

The third proportional to 201,578.50 and 423,843.50 is: 891,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,578.50 : 423,843.50 = 423,843.50 : x
  2. Step 2: Convert to fraction form
    201,578.50/423,843.50 = 423,843.50/x
  3. Step 3: Cross multiply
    201,578.50x = 423,843.50 × 423,843.50
  4. Step 4: Simplify right side
    201,578.50x = 179,643,312,492.25
  5. Step 5: Solve for x
    x = 179,643,312,492.25/201,578.50
  6. Step 6: Final answer
    x = 891,182.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.