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Finding the Third Proportional to 118,935 and 249,544

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Solution

The third proportional to 118,935 and 249,544 is: 523,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,935 : 249,544 = 249,544 : x
  2. Step 2: Convert to fraction form
    118,935/249,544 = 249,544/x
  3. Step 3: Cross multiply
    118,935x = 249,544 × 249,544
  4. Step 4: Simplify right side
    118,935x = 62,272,207,936
  5. Step 5: Solve for x
    x = 62,272,207,936/118,935
  6. Step 6: Final answer
    x = 523,581.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.