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Finding the Third Proportional to 183,038 and 272,951

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Solution

The third proportional to 183,038 and 272,951 is: 407,031.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,038 : 272,951 = 272,951 : x
  2. Step 2: Convert to fraction form
    183,038/272,951 = 272,951/x
  3. Step 3: Cross multiply
    183,038x = 272,951 × 272,951
  4. Step 4: Simplify right side
    183,038x = 74,502,248,401
  5. Step 5: Solve for x
    x = 74,502,248,401/183,038
  6. Step 6: Final answer
    x = 407,031.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.