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Finding the Third Proportional to 235,315.13 and 355,190.06

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Solution

The third proportional to 235,315.13 and 355,190.06 is: 536,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,315.13 : 355,190.06 = 355,190.06 : x
  2. Step 2: Convert to fraction form
    235,315.13/355,190.06 = 355,190.06/x
  3. Step 3: Cross multiply
    235,315.13x = 355,190.06 × 355,190.06
  4. Step 4: Simplify right side
    235,315.13x = 126,159,980,498.75
  5. Step 5: Solve for x
    x = 126,159,980,498.75/235,315.13
  6. Step 6: Final answer
    x = 536,132.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.