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Finding the Third Proportional to 201,445 and 299,359

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Solution

The third proportional to 201,445 and 299,359 is: 444,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,445 : 299,359 = 299,359 : x
  2. Step 2: Convert to fraction form
    201,445/299,359 = 299,359/x
  3. Step 3: Cross multiply
    201,445x = 299,359 × 299,359
  4. Step 4: Simplify right side
    201,445x = 89,615,810,881
  5. Step 5: Solve for x
    x = 89,615,810,881/201,445
  6. Step 6: Final answer
    x = 444,864.91

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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.