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Finding the Third Proportional to 155,430 and 240,730.50

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Solution

The third proportional to 155,430 and 240,730.50 is: 372,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,430 : 240,730.50 = 240,730.50 : x
  2. Step 2: Convert to fraction form
    155,430/240,730.50 = 240,730.50/x
  3. Step 3: Cross multiply
    155,430x = 240,730.50 × 240,730.50
  4. Step 4: Simplify right side
    155,430x = 57,951,173,630.25
  5. Step 5: Solve for x
    x = 57,951,173,630.25/155,430
  6. Step 6: Final answer
    x = 372,844.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.