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Finding the Third Proportional to 130,831.50 and 282,567

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Solution

The third proportional to 130,831.50 and 282,567 is: 610,282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,831.50 : 282,567 = 282,567 : x
  2. Step 2: Convert to fraction form
    130,831.50/282,567 = 282,567/x
  3. Step 3: Cross multiply
    130,831.50x = 282,567 × 282,567
  4. Step 4: Simplify right side
    130,831.50x = 79,844,109,489
  5. Step 5: Solve for x
    x = 79,844,109,489/130,831.50
  6. Step 6: Final answer
    x = 610,282.00

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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.