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Finding the Third Proportional to 147,701 and 322,136.50

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Solution

The third proportional to 147,701 and 322,136.50 is: 702,581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,701 : 322,136.50 = 322,136.50 : x
  2. Step 2: Convert to fraction form
    147,701/322,136.50 = 322,136.50/x
  3. Step 3: Cross multiply
    147,701x = 322,136.50 × 322,136.50
  4. Step 4: Simplify right side
    147,701x = 103,771,924,632.25
  5. Step 5: Solve for x
    x = 103,771,924,632.25/147,701
  6. Step 6: Final answer
    x = 702,581.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.