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Finding the Third Proportional to 164,584 and 245,798

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Solution

The third proportional to 164,584 and 245,798 is: 367,087.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,584 : 245,798 = 245,798 : x
  2. Step 2: Convert to fraction form
    164,584/245,798 = 245,798/x
  3. Step 3: Cross multiply
    164,584x = 245,798 × 245,798
  4. Step 4: Simplify right side
    164,584x = 60,416,656,804
  5. Step 5: Solve for x
    x = 60,416,656,804/164,584
  6. Step 6: Final answer
    x = 367,087.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.