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Finding the Third Proportional to 233,762 and 350,547

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Solution

The third proportional to 233,762 and 350,547 is: 525,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,762 : 350,547 = 350,547 : x
  2. Step 2: Convert to fraction form
    233,762/350,547 = 350,547/x
  3. Step 3: Cross multiply
    233,762x = 350,547 × 350,547
  4. Step 4: Simplify right side
    233,762x = 122,883,199,209
  5. Step 5: Solve for x
    x = 122,883,199,209/233,762
  6. Step 6: Final answer
    x = 525,676.54

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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.