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Finding the Third Proportional to 116,658 and 249,894

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Solution

The third proportional to 116,658 and 249,894 is: 535,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,658 : 249,894 = 249,894 : x
  2. Step 2: Convert to fraction form
    116,658/249,894 = 249,894/x
  3. Step 3: Cross multiply
    116,658x = 249,894 × 249,894
  4. Step 4: Simplify right side
    116,658x = 62,447,011,236
  5. Step 5: Solve for x
    x = 62,447,011,236/116,658
  6. Step 6: Final answer
    x = 535,299.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.