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Finding the Third Proportional to 169,346 and 362,038

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Solution

The third proportional to 169,346 and 362,038 is: 773,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,346 : 362,038 = 362,038 : x
  2. Step 2: Convert to fraction form
    169,346/362,038 = 362,038/x
  3. Step 3: Cross multiply
    169,346x = 362,038 × 362,038
  4. Step 4: Simplify right side
    169,346x = 131,071,513,444
  5. Step 5: Solve for x
    x = 131,071,513,444/169,346
  6. Step 6: Final answer
    x = 773,986.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.