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Finding the Third Proportional to 155,402 and 233,535

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Solution

The third proportional to 155,402 and 233,535 is: 350,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,402 : 233,535 = 233,535 : x
  2. Step 2: Convert to fraction form
    155,402/233,535 = 233,535/x
  3. Step 3: Cross multiply
    155,402x = 233,535 × 233,535
  4. Step 4: Simplify right side
    155,402x = 54,538,596,225
  5. Step 5: Solve for x
    x = 54,538,596,225/155,402
  6. Step 6: Final answer
    x = 350,951.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.