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Finding the Third Proportional to 157,748 and 346,082

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Solution

The third proportional to 157,748 and 346,082 is: 759,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,748 : 346,082 = 346,082 : x
  2. Step 2: Convert to fraction form
    157,748/346,082 = 346,082/x
  3. Step 3: Cross multiply
    157,748x = 346,082 × 346,082
  4. Step 4: Simplify right side
    157,748x = 119,772,750,724
  5. Step 5: Solve for x
    x = 119,772,750,724/157,748
  6. Step 6: Final answer
    x = 759,266.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.