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Finding the Third Proportional to 252,160 and 537,696

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Solution

The third proportional to 252,160 and 537,696 is: 1,146,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,160 : 537,696 = 537,696 : x
  2. Step 2: Convert to fraction form
    252,160/537,696 = 537,696/x
  3. Step 3: Cross multiply
    252,160x = 537,696 × 537,696
  4. Step 4: Simplify right side
    252,160x = 289,116,988,416
  5. Step 5: Solve for x
    x = 289,116,988,416/252,160
  6. Step 6: Final answer
    x = 1,146,561.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.