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Finding the Third Proportional to 164,526.75 and 248,815.13

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Solution

The third proportional to 164,526.75 and 248,815.13 is: 376,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,526.75 : 248,815.13 = 248,815.13 : x
  2. Step 2: Convert to fraction form
    164,526.75/248,815.13 = 248,815.13/x
  3. Step 3: Cross multiply
    164,526.75x = 248,815.13 × 248,815.13
  4. Step 4: Simplify right side
    164,526.75x = 61,908,966,428.77
  5. Step 5: Solve for x
    x = 61,908,966,428.77/164,526.75
  6. Step 6: Final answer
    x = 376,285.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.