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Finding the Third Proportional to 164,565 and 354,098.25

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Solution

The third proportional to 164,565 and 354,098.25 is: 761,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,565 : 354,098.25 = 354,098.25 : x
  2. Step 2: Convert to fraction form
    164,565/354,098.25 = 354,098.25/x
  3. Step 3: Cross multiply
    164,565x = 354,098.25 × 354,098.25
  4. Step 4: Simplify right side
    164,565x = 125,385,570,653.06
  5. Step 5: Solve for x
    x = 125,385,570,653.06/164,565
  6. Step 6: Final answer
    x = 761,921.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.