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Finding the Third Proportional to 233,357 and 348,547

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Solution

The third proportional to 233,357 and 348,547 is: 520,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,357 : 348,547 = 348,547 : x
  2. Step 2: Convert to fraction form
    233,357/348,547 = 348,547/x
  3. Step 3: Cross multiply
    233,357x = 348,547 × 348,547
  4. Step 4: Simplify right side
    233,357x = 121,485,011,209
  5. Step 5: Solve for x
    x = 121,485,011,209/233,357
  6. Step 6: Final answer
    x = 520,597.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.