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Finding the Third Proportional to 266,030.50 and 401,807

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Solution

The third proportional to 266,030.50 and 401,807 is: 606,881.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,030.50 : 401,807 = 401,807 : x
  2. Step 2: Convert to fraction form
    266,030.50/401,807 = 401,807/x
  3. Step 3: Cross multiply
    266,030.50x = 401,807 × 401,807
  4. Step 4: Simplify right side
    266,030.50x = 161,448,865,249
  5. Step 5: Solve for x
    x = 161,448,865,249/266,030.50
  6. Step 6: Final answer
    x = 606,881.04

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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.