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Finding the Third Proportional to 141,643 and 304,337

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Solution

The third proportional to 141,643 and 304,337 is: 653,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,643 : 304,337 = 304,337 : x
  2. Step 2: Convert to fraction form
    141,643/304,337 = 304,337/x
  3. Step 3: Cross multiply
    141,643x = 304,337 × 304,337
  4. Step 4: Simplify right side
    141,643x = 92,621,009,569
  5. Step 5: Solve for x
    x = 92,621,009,569/141,643
  6. Step 6: Final answer
    x = 653,904.60

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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.