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Finding the Third Proportional to 141,040 and 307,804

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Solution

The third proportional to 141,040 and 307,804 is: 671,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,040 : 307,804 = 307,804 : x
  2. Step 2: Convert to fraction form
    141,040/307,804 = 307,804/x
  3. Step 3: Cross multiply
    141,040x = 307,804 × 307,804
  4. Step 4: Simplify right side
    141,040x = 94,743,302,416
  5. Step 5: Solve for x
    x = 94,743,302,416/141,040
  6. Step 6: Final answer
    x = 671,747.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.