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Finding the Third Proportional to 121,490 and 262,948

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Solution

The third proportional to 121,490 and 262,948 is: 569,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,490 : 262,948 = 262,948 : x
  2. Step 2: Convert to fraction form
    121,490/262,948 = 262,948/x
  3. Step 3: Cross multiply
    121,490x = 262,948 × 262,948
  4. Step 4: Simplify right side
    121,490x = 69,141,650,704
  5. Step 5: Solve for x
    x = 69,141,650,704/121,490
  6. Step 6: Final answer
    x = 569,113.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.