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Finding the Third Proportional to 152,574 and 221,935.50

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Solution

The third proportional to 152,574 and 221,935.50 is: 322,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,574 : 221,935.50 = 221,935.50 : x
  2. Step 2: Convert to fraction form
    152,574/221,935.50 = 221,935.50/x
  3. Step 3: Cross multiply
    152,574x = 221,935.50 × 221,935.50
  4. Step 4: Simplify right side
    152,574x = 49,255,366,160.25
  5. Step 5: Solve for x
    x = 49,255,366,160.25/152,574
  6. Step 6: Final answer
    x = 322,829.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.