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Finding the Third Proportional to 183,490 and 401,948

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Solution

The third proportional to 183,490 and 401,948 is: 880,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,490 : 401,948 = 401,948 : x
  2. Step 2: Convert to fraction form
    183,490/401,948 = 401,948/x
  3. Step 3: Cross multiply
    183,490x = 401,948 × 401,948
  4. Step 4: Simplify right side
    183,490x = 161,562,194,704
  5. Step 5: Solve for x
    x = 161,562,194,704/183,490
  6. Step 6: Final answer
    x = 880,495.91

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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.