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Finding the Third Proportional to 238,160 and 348,072

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Solution

The third proportional to 238,160 and 348,072 is: 508,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,160 : 348,072 = 348,072 : x
  2. Step 2: Convert to fraction form
    238,160/348,072 = 348,072/x
  3. Step 3: Cross multiply
    238,160x = 348,072 × 348,072
  4. Step 4: Simplify right side
    238,160x = 121,154,117,184
  5. Step 5: Solve for x
    x = 121,154,117,184/238,160
  6. Step 6: Final answer
    x = 508,708.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.