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Finding the Third Proportional to 134,871 and 209,551.50

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Solution

The third proportional to 134,871 and 209,551.50 is: 325,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,871 : 209,551.50 = 209,551.50 : x
  2. Step 2: Convert to fraction form
    134,871/209,551.50 = 209,551.50/x
  3. Step 3: Cross multiply
    134,871x = 209,551.50 × 209,551.50
  4. Step 4: Simplify right side
    134,871x = 43,911,831,152.25
  5. Step 5: Solve for x
    x = 43,911,831,152.25/134,871
  6. Step 6: Final answer
    x = 325,583.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.