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Finding the Third Proportional to 195,453 and 428,307.75

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Solution

The third proportional to 195,453 and 428,307.75 is: 938,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,453 : 428,307.75 = 428,307.75 : x
  2. Step 2: Convert to fraction form
    195,453/428,307.75 = 428,307.75/x
  3. Step 3: Cross multiply
    195,453x = 428,307.75 × 428,307.75
  4. Step 4: Simplify right side
    195,453x = 183,447,528,710.06
  5. Step 5: Solve for x
    x = 183,447,528,710.06/195,453
  6. Step 6: Final answer
    x = 938,576.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.