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Finding the Third Proportional to 141,322 and 307,536

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Solution

The third proportional to 141,322 and 307,536 is: 669,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,322 : 307,536 = 307,536 : x
  2. Step 2: Convert to fraction form
    141,322/307,536 = 307,536/x
  3. Step 3: Cross multiply
    141,322x = 307,536 × 307,536
  4. Step 4: Simplify right side
    141,322x = 94,578,391,296
  5. Step 5: Solve for x
    x = 94,578,391,296/141,322
  6. Step 6: Final answer
    x = 669,240.40

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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.