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Finding the Third Proportional to 186,470 and 409,232

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Solution

The third proportional to 186,470 and 409,232 is: 898,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,470 : 409,232 = 409,232 : x
  2. Step 2: Convert to fraction form
    186,470/409,232 = 409,232/x
  3. Step 3: Cross multiply
    186,470x = 409,232 × 409,232
  4. Step 4: Simplify right side
    186,470x = 167,470,829,824
  5. Step 5: Solve for x
    x = 167,470,829,824/186,470
  6. Step 6: Final answer
    x = 898,111.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.