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Finding the Third Proportional to 143,838.75 and 302,841

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Solution

The third proportional to 143,838.75 and 302,841 is: 637,607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,838.75 : 302,841 = 302,841 : x
  2. Step 2: Convert to fraction form
    143,838.75/302,841 = 302,841/x
  3. Step 3: Cross multiply
    143,838.75x = 302,841 × 302,841
  4. Step 4: Simplify right side
    143,838.75x = 91,712,671,281
  5. Step 5: Solve for x
    x = 91,712,671,281/143,838.75
  6. Step 6: Final answer
    x = 637,607.54

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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.