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Finding the Third Proportional to 196,083 and 301,527

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Solution

The third proportional to 196,083 and 301,527 is: 463,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,083 : 301,527 = 301,527 : x
  2. Step 2: Convert to fraction form
    196,083/301,527 = 301,527/x
  3. Step 3: Cross multiply
    196,083x = 301,527 × 301,527
  4. Step 4: Simplify right side
    196,083x = 90,918,531,729
  5. Step 5: Solve for x
    x = 90,918,531,729/196,083
  6. Step 6: Final answer
    x = 463,673.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.