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Finding the Third Proportional to 199,831.50 and 429,310

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Solution

The third proportional to 199,831.50 and 429,310 is: 922,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,831.50 : 429,310 = 429,310 : x
  2. Step 2: Convert to fraction form
    199,831.50/429,310 = 429,310/x
  3. Step 3: Cross multiply
    199,831.50x = 429,310 × 429,310
  4. Step 4: Simplify right side
    199,831.50x = 184,307,076,100
  5. Step 5: Solve for x
    x = 184,307,076,100/199,831.50
  6. Step 6: Final answer
    x = 922,312.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.