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Finding the Third Proportional to 357.13 and 750.13

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Solution

The third proportional to 357.13 and 750.13 is: 1,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.13 : 750.13 = 750.13 : x
  2. Step 2: Convert to fraction form
    357.13/750.13 = 750.13/x
  3. Step 3: Cross multiply
    357.13x = 750.13 × 750.13
  4. Step 4: Simplify right side
    357.13x = 562,687.52
  5. Step 5: Solve for x
    x = 562,687.52/357.13
  6. Step 6: Final answer
    x = 1,575.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.