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Finding the Third Proportional to 74,784 and 161,308.50

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Solution

The third proportional to 74,784 and 161,308.50 is: 347,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,784 : 161,308.50 = 161,308.50 : x
  2. Step 2: Convert to fraction form
    74,784/161,308.50 = 161,308.50/x
  3. Step 3: Cross multiply
    74,784x = 161,308.50 × 161,308.50
  4. Step 4: Simplify right side
    74,784x = 26,020,432,172.25
  5. Step 5: Solve for x
    x = 26,020,432,172.25/74,784
  6. Step 6: Final answer
    x = 347,941.17

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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.