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Finding the Third Proportional to 142,900.13 and 301,838.25

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Solution

The third proportional to 142,900.13 and 301,838.25 is: 637,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,900.13 : 301,838.25 = 301,838.25 : x
  2. Step 2: Convert to fraction form
    142,900.13/301,838.25 = 301,838.25/x
  3. Step 3: Cross multiply
    142,900.13x = 301,838.25 × 301,838.25
  4. Step 4: Simplify right side
    142,900.13x = 91,106,329,163.06
  5. Step 5: Solve for x
    x = 91,106,329,163.06/142,900.13
  6. Step 6: Final answer
    x = 637,552.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.