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Finding the Third Proportional to 181,428 and 286,056

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Solution

The third proportional to 181,428 and 286,056 is: 451,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,428 : 286,056 = 286,056 : x
  2. Step 2: Convert to fraction form
    181,428/286,056 = 286,056/x
  3. Step 3: Cross multiply
    181,428x = 286,056 × 286,056
  4. Step 4: Simplify right side
    181,428x = 81,828,035,136
  5. Step 5: Solve for x
    x = 81,828,035,136/181,428
  6. Step 6: Final answer
    x = 451,022.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.