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Finding the Third Proportional to 163,064 and 354,066

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Solution

The third proportional to 163,064 and 354,066 is: 768,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,064 : 354,066 = 354,066 : x
  2. Step 2: Convert to fraction form
    163,064/354,066 = 354,066/x
  3. Step 3: Cross multiply
    163,064x = 354,066 × 354,066
  4. Step 4: Simplify right side
    163,064x = 125,362,732,356
  5. Step 5: Solve for x
    x = 125,362,732,356/163,064
  6. Step 6: Final answer
    x = 768,794.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.