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Finding the Third Proportional to 249,313.50 and 363,054

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Solution

The third proportional to 249,313.50 and 363,054 is: 528,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,313.50 : 363,054 = 363,054 : x
  2. Step 2: Convert to fraction form
    249,313.50/363,054 = 363,054/x
  3. Step 3: Cross multiply
    249,313.50x = 363,054 × 363,054
  4. Step 4: Simplify right side
    249,313.50x = 131,808,206,916
  5. Step 5: Solve for x
    x = 131,808,206,916/249,313.50
  6. Step 6: Final answer
    x = 528,684.60

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.