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Finding the Third Proportional to 233,547 and 313,816.50

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Solution

The third proportional to 233,547 and 313,816.50 is: 421,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,547 : 313,816.50 = 313,816.50 : x
  2. Step 2: Convert to fraction form
    233,547/313,816.50 = 313,816.50/x
  3. Step 3: Cross multiply
    233,547x = 313,816.50 × 313,816.50
  4. Step 4: Simplify right side
    233,547x = 98,480,795,672.25
  5. Step 5: Solve for x
    x = 98,480,795,672.25/233,547
  6. Step 6: Final answer
    x = 421,674.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.