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Finding the Third Proportional to 175,065 and 249,977

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Solution

The third proportional to 175,065 and 249,977 is: 356,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,065 : 249,977 = 249,977 : x
  2. Step 2: Convert to fraction form
    175,065/249,977 = 249,977/x
  3. Step 3: Cross multiply
    175,065x = 249,977 × 249,977
  4. Step 4: Simplify right side
    175,065x = 62,488,500,529
  5. Step 5: Solve for x
    x = 62,488,500,529/175,065
  6. Step 6: Final answer
    x = 356,944.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.