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Finding the Third Proportional to 186,564 and 295,892

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Solution

The third proportional to 186,564 and 295,892 is: 469,287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,564 : 295,892 = 295,892 : x
  2. Step 2: Convert to fraction form
    186,564/295,892 = 295,892/x
  3. Step 3: Cross multiply
    186,564x = 295,892 × 295,892
  4. Step 4: Simplify right side
    186,564x = 87,552,075,664
  5. Step 5: Solve for x
    x = 87,552,075,664/186,564
  6. Step 6: Final answer
    x = 469,287.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.