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Finding the Third Proportional to 116,352 and 253,440

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Solution

The third proportional to 116,352 and 253,440 is: 552,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,352 : 253,440 = 253,440 : x
  2. Step 2: Convert to fraction form
    116,352/253,440 = 253,440/x
  3. Step 3: Cross multiply
    116,352x = 253,440 × 253,440
  4. Step 4: Simplify right side
    116,352x = 64,231,833,600
  5. Step 5: Solve for x
    x = 64,231,833,600/116,352
  6. Step 6: Final answer
    x = 552,047.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.