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Finding the Third Proportional to 108,430 and 240,088

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Solution

The third proportional to 108,430 and 240,088 is: 531,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,430 : 240,088 = 240,088 : x
  2. Step 2: Convert to fraction form
    108,430/240,088 = 240,088/x
  3. Step 3: Cross multiply
    108,430x = 240,088 × 240,088
  4. Step 4: Simplify right side
    108,430x = 57,642,247,744
  5. Step 5: Solve for x
    x = 57,642,247,744/108,430
  6. Step 6: Final answer
    x = 531,607.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.