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Finding the Third Proportional to 186,466.50 and 402,417

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Solution

The third proportional to 186,466.50 and 402,417 is: 868,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,466.50 : 402,417 = 402,417 : x
  2. Step 2: Convert to fraction form
    186,466.50/402,417 = 402,417/x
  3. Step 3: Cross multiply
    186,466.50x = 402,417 × 402,417
  4. Step 4: Simplify right side
    186,466.50x = 161,939,441,889
  5. Step 5: Solve for x
    x = 161,939,441,889/186,466.50
  6. Step 6: Final answer
    x = 868,464.00

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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.