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Finding the Third Proportional to 145,904.81 and 313,605.56

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Solution

The third proportional to 145,904.81 and 313,605.56 is: 674,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,904.81 : 313,605.56 = 313,605.56 : x
  2. Step 2: Convert to fraction form
    145,904.81/313,605.56 = 313,605.56/x
  3. Step 3: Cross multiply
    145,904.81x = 313,605.56 × 313,605.56
  4. Step 4: Simplify right side
    145,904.81x = 98,348,448,830.94
  5. Step 5: Solve for x
    x = 98,348,448,830.94/145,904.81
  6. Step 6: Final answer
    x = 674,058.98

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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.