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Finding the Third Proportional to 208,028 and 304,637

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Solution

The third proportional to 208,028 and 304,637 is: 446,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,028 : 304,637 = 304,637 : x
  2. Step 2: Convert to fraction form
    208,028/304,637 = 304,637/x
  3. Step 3: Cross multiply
    208,028x = 304,637 × 304,637
  4. Step 4: Simplify right side
    208,028x = 92,803,701,769
  5. Step 5: Solve for x
    x = 92,803,701,769/208,028
  6. Step 6: Final answer
    x = 446,111.59

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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.