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Finding the Third Proportional to 105,006 and 230,430

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Solution

The third proportional to 105,006 and 230,430 is: 505,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,006 : 230,430 = 230,430 : x
  2. Step 2: Convert to fraction form
    105,006/230,430 = 230,430/x
  3. Step 3: Cross multiply
    105,006x = 230,430 × 230,430
  4. Step 4: Simplify right side
    105,006x = 53,097,984,900
  5. Step 5: Solve for x
    x = 53,097,984,900/105,006
  6. Step 6: Final answer
    x = 505,666.20

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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.