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Finding the Third Proportional to 116,010 and 254,430

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Solution

The third proportional to 116,010 and 254,430 is: 558,009.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,010 : 254,430 = 254,430 : x
  2. Step 2: Convert to fraction form
    116,010/254,430 = 254,430/x
  3. Step 3: Cross multiply
    116,010x = 254,430 × 254,430
  4. Step 4: Simplify right side
    116,010x = 64,734,624,900
  5. Step 5: Solve for x
    x = 64,734,624,900/116,010
  6. Step 6: Final answer
    x = 558,009.01

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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.