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Finding the Third Proportional to 114,624 and 249,174

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Solution

The third proportional to 114,624 and 249,174 is: 541,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,624 : 249,174 = 249,174 : x
  2. Step 2: Convert to fraction form
    114,624/249,174 = 249,174/x
  3. Step 3: Cross multiply
    114,624x = 249,174 × 249,174
  4. Step 4: Simplify right side
    114,624x = 62,087,682,276
  5. Step 5: Solve for x
    x = 62,087,682,276/114,624
  6. Step 6: Final answer
    x = 541,663.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.