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Finding the Third Proportional to 201,136 and 440,681.50

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Solution

The third proportional to 201,136 and 440,681.50 is: 965,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,136 : 440,681.50 = 440,681.50 : x
  2. Step 2: Convert to fraction form
    201,136/440,681.50 = 440,681.50/x
  3. Step 3: Cross multiply
    201,136x = 440,681.50 × 440,681.50
  4. Step 4: Simplify right side
    201,136x = 194,200,184,442.25
  5. Step 5: Solve for x
    x = 194,200,184,442.25/201,136
  6. Step 6: Final answer
    x = 965,516.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.