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Finding the Third Proportional to 164,808 and 352,946

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Solution

The third proportional to 164,808 and 352,946 is: 755,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,808 : 352,946 = 352,946 : x
  2. Step 2: Convert to fraction form
    164,808/352,946 = 352,946/x
  3. Step 3: Cross multiply
    164,808x = 352,946 × 352,946
  4. Step 4: Simplify right side
    164,808x = 124,570,878,916
  5. Step 5: Solve for x
    x = 124,570,878,916/164,808
  6. Step 6: Final answer
    x = 755,854.56

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