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Finding the Third Proportional to 247,477.50 and 370,108.50

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Solution

The third proportional to 247,477.50 and 370,108.50 is: 553,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,477.50 : 370,108.50 = 370,108.50 : x
  2. Step 2: Convert to fraction form
    247,477.50/370,108.50 = 370,108.50/x
  3. Step 3: Cross multiply
    247,477.50x = 370,108.50 × 370,108.50
  4. Step 4: Simplify right side
    247,477.50x = 136,980,301,772.25
  5. Step 5: Solve for x
    x = 136,980,301,772.25/247,477.50
  6. Step 6: Final answer
    x = 553,506.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.