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Finding the Third Proportional to 261,525.90 and 351,893.43

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Solution

The third proportional to 261,525.90 and 351,893.43 is: 473,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,525.90 : 351,893.43 = 351,893.43 : x
  2. Step 2: Convert to fraction form
    261,525.90/351,893.43 = 351,893.43/x
  3. Step 3: Cross multiply
    261,525.90x = 351,893.43 × 351,893.43
  4. Step 4: Simplify right side
    261,525.90x = 123,828,983,108.06
  5. Step 5: Solve for x
    x = 123,828,983,108.06/261,525.90
  6. Step 6: Final answer
    x = 473,486.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.