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Finding the Third Proportional to 245,365.88 and 359,948.81

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Solution

The third proportional to 245,365.88 and 359,948.81 is: 528,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,365.88 : 359,948.81 = 359,948.81 : x
  2. Step 2: Convert to fraction form
    245,365.88/359,948.81 = 359,948.81/x
  3. Step 3: Cross multiply
    245,365.88x = 359,948.81 × 359,948.81
  4. Step 4: Simplify right side
    245,365.88x = 129,563,147,620.16
  5. Step 5: Solve for x
    x = 129,563,147,620.16/245,365.88
  6. Step 6: Final answer
    x = 528,040.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.