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Finding the Third Proportional to 238,368.75 and 353,430

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Solution

The third proportional to 238,368.75 and 353,430 is: 524,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,368.75 : 353,430 = 353,430 : x
  2. Step 2: Convert to fraction form
    238,368.75/353,430 = 353,430/x
  3. Step 3: Cross multiply
    238,368.75x = 353,430 × 353,430
  4. Step 4: Simplify right side
    238,368.75x = 124,912,764,900
  5. Step 5: Solve for x
    x = 124,912,764,900/238,368.75
  6. Step 6: Final answer
    x = 524,031.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.