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Finding the Third Proportional to 117,931.50 and 249,174

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Solution

The third proportional to 117,931.50 and 249,174 is: 526,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,931.50 : 249,174 = 249,174 : x
  2. Step 2: Convert to fraction form
    117,931.50/249,174 = 249,174/x
  3. Step 3: Cross multiply
    117,931.50x = 249,174 × 249,174
  4. Step 4: Simplify right side
    117,931.50x = 62,087,682,276
  5. Step 5: Solve for x
    x = 62,087,682,276/117,931.50
  6. Step 6: Final answer
    x = 526,472.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.