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Finding the Third Proportional to 155,643 and 237,352.50

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Solution

The third proportional to 155,643 and 237,352.50 is: 361,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,643 : 237,352.50 = 237,352.50 : x
  2. Step 2: Convert to fraction form
    155,643/237,352.50 = 237,352.50/x
  3. Step 3: Cross multiply
    155,643x = 237,352.50 × 237,352.50
  4. Step 4: Simplify right side
    155,643x = 56,336,209,256.25
  5. Step 5: Solve for x
    x = 56,336,209,256.25/155,643
  6. Step 6: Final answer
    x = 361,957.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.