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Finding the Third Proportional to 130,816.50 and 282,546

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Solution

The third proportional to 130,816.50 and 282,546 is: 610,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,816.50 : 282,546 = 282,546 : x
  2. Step 2: Convert to fraction form
    130,816.50/282,546 = 282,546/x
  3. Step 3: Cross multiply
    130,816.50x = 282,546 × 282,546
  4. Step 4: Simplify right side
    130,816.50x = 79,832,242,116
  5. Step 5: Solve for x
    x = 79,832,242,116/130,816.50
  6. Step 6: Final answer
    x = 610,261.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.