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Finding the Third Proportional to 181,521 and 288,298.50

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Solution

The third proportional to 181,521 and 288,298.50 is: 457,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,521 : 288,298.50 = 288,298.50 : x
  2. Step 2: Convert to fraction form
    181,521/288,298.50 = 288,298.50/x
  3. Step 3: Cross multiply
    181,521x = 288,298.50 × 288,298.50
  4. Step 4: Simplify right side
    181,521x = 83,116,025,102.25
  5. Step 5: Solve for x
    x = 83,116,025,102.25/181,521
  6. Step 6: Final answer
    x = 457,886.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.