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Finding the Third Proportional to 233,569.04 and 365,916.71

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Solution

The third proportional to 233,569.04 and 365,916.71 is: 573,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,569.04 : 365,916.71 = 365,916.71 : x
  2. Step 2: Convert to fraction form
    233,569.04/365,916.71 = 365,916.71/x
  3. Step 3: Cross multiply
    233,569.04x = 365,916.71 × 365,916.71
  4. Step 4: Simplify right side
    233,569.04x = 133,895,037,913.96
  5. Step 5: Solve for x
    x = 133,895,037,913.96/233,569.04
  6. Step 6: Final answer
    x = 573,256.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.