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Finding the Third Proportional to 269,419.50 and 392,283

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Solution

The third proportional to 269,419.50 and 392,283 is: 571,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,419.50 : 392,283 = 392,283 : x
  2. Step 2: Convert to fraction form
    269,419.50/392,283 = 392,283/x
  3. Step 3: Cross multiply
    269,419.50x = 392,283 × 392,283
  4. Step 4: Simplify right side
    269,419.50x = 153,885,952,089
  5. Step 5: Solve for x
    x = 153,885,952,089/269,419.50
  6. Step 6: Final answer
    x = 571,176.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.