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Finding the Third Proportional to 235,428 and 358,582

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Solution

The third proportional to 235,428 and 358,582 is: 546,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,428 : 358,582 = 358,582 : x
  2. Step 2: Convert to fraction form
    235,428/358,582 = 358,582/x
  3. Step 3: Cross multiply
    235,428x = 358,582 × 358,582
  4. Step 4: Simplify right side
    235,428x = 128,581,050,724
  5. Step 5: Solve for x
    x = 128,581,050,724/235,428
  6. Step 6: Final answer
    x = 546,158.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.