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Finding the Third Proportional to 155,046 and 232,572

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Solution

The third proportional to 155,046 and 232,572 is: 348,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,046 : 232,572 = 232,572 : x
  2. Step 2: Convert to fraction form
    155,046/232,572 = 232,572/x
  3. Step 3: Cross multiply
    155,046x = 232,572 × 232,572
  4. Step 4: Simplify right side
    155,046x = 54,089,735,184
  5. Step 5: Solve for x
    x = 54,089,735,184/155,046
  6. Step 6: Final answer
    x = 348,862.50

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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.