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Finding the Third Proportional to 201,498 and 299,428.50

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Solution

The third proportional to 201,498 and 299,428.50 is: 444,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,498 : 299,428.50 = 299,428.50 : x
  2. Step 2: Convert to fraction form
    201,498/299,428.50 = 299,428.50/x
  3. Step 3: Cross multiply
    201,498x = 299,428.50 × 299,428.50
  4. Step 4: Simplify right side
    201,498x = 89,657,426,612.25
  5. Step 5: Solve for x
    x = 89,657,426,612.25/201,498
  6. Step 6: Final answer
    x = 444,954.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.