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Finding the Third Proportional to 121,364 and 266,056

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Solution

The third proportional to 121,364 and 266,056 is: 583,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,364 : 266,056 = 266,056 : x
  2. Step 2: Convert to fraction form
    121,364/266,056 = 266,056/x
  3. Step 3: Cross multiply
    121,364x = 266,056 × 266,056
  4. Step 4: Simplify right side
    121,364x = 70,785,795,136
  5. Step 5: Solve for x
    x = 70,785,795,136/121,364
  6. Step 6: Final answer
    x = 583,252.00

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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.