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Finding the Third Proportional to 161,740 and 350,967.50

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Solution

The third proportional to 161,740 and 350,967.50 is: 761,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,740 : 350,967.50 = 350,967.50 : x
  2. Step 2: Convert to fraction form
    161,740/350,967.50 = 350,967.50/x
  3. Step 3: Cross multiply
    161,740x = 350,967.50 × 350,967.50
  4. Step 4: Simplify right side
    161,740x = 123,178,186,056.25
  5. Step 5: Solve for x
    x = 123,178,186,056.25/161,740
  6. Step 6: Final answer
    x = 761,581.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.