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Finding the Third Proportional to 114,688 and 253,440

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Solution

The third proportional to 114,688 and 253,440 is: 560,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,688 : 253,440 = 253,440 : x
  2. Step 2: Convert to fraction form
    114,688/253,440 = 253,440/x
  3. Step 3: Cross multiply
    114,688x = 253,440 × 253,440
  4. Step 4: Simplify right side
    114,688x = 64,231,833,600
  5. Step 5: Solve for x
    x = 64,231,833,600/114,688
  6. Step 6: Final answer
    x = 560,057.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.