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Finding the Third Proportional to 163,311 and 249,826

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Solution

The third proportional to 163,311 and 249,826 is: 382,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,311 : 249,826 = 249,826 : x
  2. Step 2: Convert to fraction form
    163,311/249,826 = 249,826/x
  3. Step 3: Cross multiply
    163,311x = 249,826 × 249,826
  4. Step 4: Simplify right side
    163,311x = 62,413,030,276
  5. Step 5: Solve for x
    x = 62,413,030,276/163,311
  6. Step 6: Final answer
    x = 382,172.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.