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Finding the Third Proportional to 190,144.13 and 407,281.50

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Solution

The third proportional to 190,144.13 and 407,281.50 is: 872,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,144.13 : 407,281.50 = 407,281.50 : x
  2. Step 2: Convert to fraction form
    190,144.13/407,281.50 = 407,281.50/x
  3. Step 3: Cross multiply
    190,144.13x = 407,281.50 × 407,281.50
  4. Step 4: Simplify right side
    190,144.13x = 165,878,220,242.25
  5. Step 5: Solve for x
    x = 165,878,220,242.25/190,144.13
  6. Step 6: Final answer
    x = 872,381.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.