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Finding the Third Proportional to 242,004 and 371,362.50

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Solution

The third proportional to 242,004 and 371,362.50 is: 569,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,004 : 371,362.50 = 371,362.50 : x
  2. Step 2: Convert to fraction form
    242,004/371,362.50 = 371,362.50/x
  3. Step 3: Cross multiply
    242,004x = 371,362.50 × 371,362.50
  4. Step 4: Simplify right side
    242,004x = 137,910,106,406.25
  5. Step 5: Solve for x
    x = 137,910,106,406.25/242,004
  6. Step 6: Final answer
    x = 569,867.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.