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Finding the Third Proportional to 141,410 and 297,361

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Solution

The third proportional to 141,410 and 297,361 is: 625,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,410 : 297,361 = 297,361 : x
  2. Step 2: Convert to fraction form
    141,410/297,361 = 297,361/x
  3. Step 3: Cross multiply
    141,410x = 297,361 × 297,361
  4. Step 4: Simplify right side
    141,410x = 88,423,564,321
  5. Step 5: Solve for x
    x = 88,423,564,321/141,410
  6. Step 6: Final answer
    x = 625,299.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.