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Finding the Third Proportional to 190,911 and 431,329.50

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Solution

The third proportional to 190,911 and 431,329.50 is: 974,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,911 : 431,329.50 = 431,329.50 : x
  2. Step 2: Convert to fraction form
    190,911/431,329.50 = 431,329.50/x
  3. Step 3: Cross multiply
    190,911x = 431,329.50 × 431,329.50
  4. Step 4: Simplify right side
    190,911x = 186,045,137,570.25
  5. Step 5: Solve for x
    x = 186,045,137,570.25/190,911
  6. Step 6: Final answer
    x = 974,512.40

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.