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Finding the Third Proportional to 164,535 and 248,827.75

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Solution

The third proportional to 164,535 and 248,827.75 is: 376,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,535 : 248,827.75 = 248,827.75 : x
  2. Step 2: Convert to fraction form
    164,535/248,827.75 = 248,827.75/x
  3. Step 3: Cross multiply
    164,535x = 248,827.75 × 248,827.75
  4. Step 4: Simplify right side
    164,535x = 61,915,249,170.06
  5. Step 5: Solve for x
    x = 61,915,249,170.06/164,535
  6. Step 6: Final answer
    x = 376,304.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.