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Finding the Third Proportional to 141,391 and 304,922

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Solution

The third proportional to 141,391 and 304,922 is: 657,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,391 : 304,922 = 304,922 : x
  2. Step 2: Convert to fraction form
    141,391/304,922 = 304,922/x
  3. Step 3: Cross multiply
    141,391x = 304,922 × 304,922
  4. Step 4: Simplify right side
    141,391x = 92,977,426,084
  5. Step 5: Solve for x
    x = 92,977,426,084/141,391
  6. Step 6: Final answer
    x = 657,590.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.