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Finding the Third Proportional to 186,219 and 401,962.50

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Solution

The third proportional to 186,219 and 401,962.50 is: 867,655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,219 : 401,962.50 = 401,962.50 : x
  2. Step 2: Convert to fraction form
    186,219/401,962.50 = 401,962.50/x
  3. Step 3: Cross multiply
    186,219x = 401,962.50 × 401,962.50
  4. Step 4: Simplify right side
    186,219x = 161,573,851,406.25
  5. Step 5: Solve for x
    x = 161,573,851,406.25/186,219
  6. Step 6: Final answer
    x = 867,655.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.