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Finding the Third Proportional to 175,903.13 and 343,057.13

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Solution

The third proportional to 175,903.13 and 343,057.13 is: 669,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,903.13 : 343,057.13 = 343,057.13 : x
  2. Step 2: Convert to fraction form
    175,903.13/343,057.13 = 343,057.13/x
  3. Step 3: Cross multiply
    175,903.13x = 343,057.13 × 343,057.13
  4. Step 4: Simplify right side
    175,903.13x = 117,688,191,013.27
  5. Step 5: Solve for x
    x = 117,688,191,013.27/175,903.13
  6. Step 6: Final answer
    x = 669,051.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.