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Finding the Third Proportional to 161,480 and 354,064

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Solution

The third proportional to 161,480 and 354,064 is: 776,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,480 : 354,064 = 354,064 : x
  2. Step 2: Convert to fraction form
    161,480/354,064 = 354,064/x
  3. Step 3: Cross multiply
    161,480x = 354,064 × 354,064
  4. Step 4: Simplify right side
    161,480x = 125,361,316,096
  5. Step 5: Solve for x
    x = 125,361,316,096/161,480
  6. Step 6: Final answer
    x = 776,327.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.