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Finding the Third Proportional to 148,875.47 and 324,518.91

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Solution

The third proportional to 148,875.47 and 324,518.91 is: 707,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,875.47 : 324,518.91 = 324,518.91 : x
  2. Step 2: Convert to fraction form
    148,875.47/324,518.91 = 324,518.91/x
  3. Step 3: Cross multiply
    148,875.47x = 324,518.91 × 324,518.91
  4. Step 4: Simplify right side
    148,875.47x = 105,312,520,513.70
  5. Step 5: Solve for x
    x = 105,312,520,513.70/148,875.47
  6. Step 6: Final answer
    x = 707,386.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.