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Finding the Third Proportional to 175,513 and 288,297

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Solution

The third proportional to 175,513 and 288,297 is: 473,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,513 : 288,297 = 288,297 : x
  2. Step 2: Convert to fraction form
    175,513/288,297 = 288,297/x
  3. Step 3: Cross multiply
    175,513x = 288,297 × 288,297
  4. Step 4: Simplify right side
    175,513x = 83,115,160,209
  5. Step 5: Solve for x
    x = 83,115,160,209/175,513
  6. Step 6: Final answer
    x = 473,555.58

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.