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Finding the Third Proportional to 73,666.13 and 160,457.63

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Solution

The third proportional to 73,666.13 and 160,457.63 is: 349,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,666.13 : 160,457.63 = 160,457.63 : x
  2. Step 2: Convert to fraction form
    73,666.13/160,457.63 = 160,457.63/x
  3. Step 3: Cross multiply
    73,666.13x = 160,457.63 × 160,457.63
  4. Step 4: Simplify right side
    73,666.13x = 25,746,649,420.64
  5. Step 5: Solve for x
    x = 25,746,649,420.64/73,666.13
  6. Step 6: Final answer
    x = 349,504.60

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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.