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Finding the Third Proportional to 155,316 and 238,653

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Solution

The third proportional to 155,316 and 238,653 is: 366,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,316 : 238,653 = 238,653 : x
  2. Step 2: Convert to fraction form
    155,316/238,653 = 238,653/x
  3. Step 3: Cross multiply
    155,316x = 238,653 × 238,653
  4. Step 4: Simplify right side
    155,316x = 56,955,254,409
  5. Step 5: Solve for x
    x = 56,955,254,409/155,316
  6. Step 6: Final answer
    x = 366,705.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.