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Finding the Third Proportional to 176,302 and 260,746

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Solution

The third proportional to 176,302 and 260,746 is: 385,636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,302 : 260,746 = 260,746 : x
  2. Step 2: Convert to fraction form
    176,302/260,746 = 260,746/x
  3. Step 3: Cross multiply
    176,302x = 260,746 × 260,746
  4. Step 4: Simplify right side
    176,302x = 67,988,476,516
  5. Step 5: Solve for x
    x = 67,988,476,516/176,302
  6. Step 6: Final answer
    x = 385,636.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.