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Finding the Third Proportional to 162,835 and 259,030.50

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Solution

The third proportional to 162,835 and 259,030.50 is: 412,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,835 : 259,030.50 = 259,030.50 : x
  2. Step 2: Convert to fraction form
    162,835/259,030.50 = 259,030.50/x
  3. Step 3: Cross multiply
    162,835x = 259,030.50 × 259,030.50
  4. Step 4: Simplify right side
    162,835x = 67,096,799,930.25
  5. Step 5: Solve for x
    x = 67,096,799,930.25/162,835
  6. Step 6: Final answer
    x = 412,053.92

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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.