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Finding the Third Proportional to 201,754.50 and 455,484

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Solution

The third proportional to 201,754.50 and 455,484 is: 1,028,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,754.50 : 455,484 = 455,484 : x
  2. Step 2: Convert to fraction form
    201,754.50/455,484 = 455,484/x
  3. Step 3: Cross multiply
    201,754.50x = 455,484 × 455,484
  4. Step 4: Simplify right side
    201,754.50x = 207,465,674,256
  5. Step 5: Solve for x
    x = 207,465,674,256/201,754.50
  6. Step 6: Final answer
    x = 1,028,307.54

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.