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Finding the Third Proportional to 125,685 and 264,297

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Solution

The third proportional to 125,685 and 264,297 is: 555,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,685 : 264,297 = 264,297 : x
  2. Step 2: Convert to fraction form
    125,685/264,297 = 264,297/x
  3. Step 3: Cross multiply
    125,685x = 264,297 × 264,297
  4. Step 4: Simplify right side
    125,685x = 69,852,904,209
  5. Step 5: Solve for x
    x = 69,852,904,209/125,685
  6. Step 6: Final answer
    x = 555,777.57

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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.