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Finding the Third Proportional to 115,484 and 253,015

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Solution

The third proportional to 115,484 and 253,015 is: 554,332.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,484 : 253,015 = 253,015 : x
  2. Step 2: Convert to fraction form
    115,484/253,015 = 253,015/x
  3. Step 3: Cross multiply
    115,484x = 253,015 × 253,015
  4. Step 4: Simplify right side
    115,484x = 64,016,590,225
  5. Step 5: Solve for x
    x = 64,016,590,225/115,484
  6. Step 6: Final answer
    x = 554,332.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.