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Finding the Third Proportional to 242,831.25 and 367,633.50

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Solution

The third proportional to 242,831.25 and 367,633.50 is: 556,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,831.25 : 367,633.50 = 367,633.50 : x
  2. Step 2: Convert to fraction form
    242,831.25/367,633.50 = 367,633.50/x
  3. Step 3: Cross multiply
    242,831.25x = 367,633.50 × 367,633.50
  4. Step 4: Simplify right side
    242,831.25x = 135,154,390,322.25
  5. Step 5: Solve for x
    x = 135,154,390,322.25/242,831.25
  6. Step 6: Final answer
    x = 556,577.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.