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Finding the Third Proportional to 245,643.75 and 372,897

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Solution

The third proportional to 245,643.75 and 372,897 is: 566,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,643.75 : 372,897 = 372,897 : x
  2. Step 2: Convert to fraction form
    245,643.75/372,897 = 372,897/x
  3. Step 3: Cross multiply
    245,643.75x = 372,897 × 372,897
  4. Step 4: Simplify right side
    245,643.75x = 139,052,172,609
  5. Step 5: Solve for x
    x = 139,052,172,609/245,643.75
  6. Step 6: Final answer
    x = 566,072.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.