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Finding the Third Proportional to 186,798 and 405,348

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Solution

The third proportional to 186,798 and 405,348 is: 879,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,798 : 405,348 = 405,348 : x
  2. Step 2: Convert to fraction form
    186,798/405,348 = 405,348/x
  3. Step 3: Cross multiply
    186,798x = 405,348 × 405,348
  4. Step 4: Simplify right side
    186,798x = 164,307,001,104
  5. Step 5: Solve for x
    x = 164,307,001,104/186,798
  6. Step 6: Final answer
    x = 879,597.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.