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Finding the Third Proportional to 201,969 and 299,053

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Solution

The third proportional to 201,969 and 299,053 is: 442,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,969 : 299,053 = 299,053 : x
  2. Step 2: Convert to fraction form
    201,969/299,053 = 299,053/x
  3. Step 3: Cross multiply
    201,969x = 299,053 × 299,053
  4. Step 4: Simplify right side
    201,969x = 89,432,696,809
  5. Step 5: Solve for x
    x = 89,432,696,809/201,969
  6. Step 6: Final answer
    x = 442,804.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.