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Finding the Third Proportional to 181,362 and 285,955.50

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Solution

The third proportional to 181,362 and 285,955.50 is: 450,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,362 : 285,955.50 = 285,955.50 : x
  2. Step 2: Convert to fraction form
    181,362/285,955.50 = 285,955.50/x
  3. Step 3: Cross multiply
    181,362x = 285,955.50 × 285,955.50
  4. Step 4: Simplify right side
    181,362x = 81,770,547,980.25
  5. Step 5: Solve for x
    x = 81,770,547,980.25/181,362
  6. Step 6: Final answer
    x = 450,869.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.