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Finding the Third Proportional to 162,164 and 354,871

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Solution

The third proportional to 162,164 and 354,871 is: 776,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,164 : 354,871 = 354,871 : x
  2. Step 2: Convert to fraction form
    162,164/354,871 = 354,871/x
  3. Step 3: Cross multiply
    162,164x = 354,871 × 354,871
  4. Step 4: Simplify right side
    162,164x = 125,933,426,641
  5. Step 5: Solve for x
    x = 125,933,426,641/162,164
  6. Step 6: Final answer
    x = 776,580.66

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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.