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Finding the Third Proportional to 193,071 and 286,770

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Solution

The third proportional to 193,071 and 286,770 is: 425,941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,071 : 286,770 = 286,770 : x
  2. Step 2: Convert to fraction form
    193,071/286,770 = 286,770/x
  3. Step 3: Cross multiply
    193,071x = 286,770 × 286,770
  4. Step 4: Simplify right side
    193,071x = 82,237,032,900
  5. Step 5: Solve for x
    x = 82,237,032,900/193,071
  6. Step 6: Final answer
    x = 425,941.92

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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.