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Finding the Third Proportional to 186,705 and 403,056

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Solution

The third proportional to 186,705 and 403,056 is: 870,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,705 : 403,056 = 403,056 : x
  2. Step 2: Convert to fraction form
    186,705/403,056 = 403,056/x
  3. Step 3: Cross multiply
    186,705x = 403,056 × 403,056
  4. Step 4: Simplify right side
    186,705x = 162,454,139,136
  5. Step 5: Solve for x
    x = 162,454,139,136/186,705
  6. Step 6: Final answer
    x = 870,111.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.