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Finding the Third Proportional to 200,916 and 310,820.63

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Solution

The third proportional to 200,916 and 310,820.63 is: 480,845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,916 : 310,820.63 = 310,820.63 : x
  2. Step 2: Convert to fraction form
    200,916/310,820.63 = 310,820.63/x
  3. Step 3: Cross multiply
    200,916x = 310,820.63 × 310,820.63
  4. Step 4: Simplify right side
    200,916x = 96,609,460,925.39
  5. Step 5: Solve for x
    x = 96,609,460,925.39/200,916
  6. Step 6: Final answer
    x = 480,845.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.