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Finding the Third Proportional to 164,065.50 and 257,032.50

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Solution

The third proportional to 164,065.50 and 257,032.50 is: 402,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,065.50 : 257,032.50 = 257,032.50 : x
  2. Step 2: Convert to fraction form
    164,065.50/257,032.50 = 257,032.50/x
  3. Step 3: Cross multiply
    164,065.50x = 257,032.50 × 257,032.50
  4. Step 4: Simplify right side
    164,065.50x = 66,065,706,056.25
  5. Step 5: Solve for x
    x = 66,065,706,056.25/164,065.50
  6. Step 6: Final answer
    x = 402,678.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.