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Finding the Third Proportional to 141,442 and 297,426

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Solution

The third proportional to 141,442 and 297,426 is: 625,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,442 : 297,426 = 297,426 : x
  2. Step 2: Convert to fraction form
    141,442/297,426 = 297,426/x
  3. Step 3: Cross multiply
    141,442x = 297,426 × 297,426
  4. Step 4: Simplify right side
    141,442x = 88,462,225,476
  5. Step 5: Solve for x
    x = 88,462,225,476/141,442
  6. Step 6: Final answer
    x = 625,431.10

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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.