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Finding the Third Proportional to 145,533.09 and 313,197.75

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Solution

The third proportional to 145,533.09 and 313,197.75 is: 674,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,533.09 : 313,197.75 = 313,197.75 : x
  2. Step 2: Convert to fraction form
    145,533.09/313,197.75 = 313,197.75/x
  3. Step 3: Cross multiply
    145,533.09x = 313,197.75 × 313,197.75
  4. Step 4: Simplify right side
    145,533.09x = 98,092,830,605.06
  5. Step 5: Solve for x
    x = 98,092,830,605.06/145,533.09
  6. Step 6: Final answer
    x = 674,024.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.