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Finding the Third Proportional to 240,730.31 and 372,547.69

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Solution

The third proportional to 240,730.31 and 372,547.69 is: 576,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,730.31 : 372,547.69 = 372,547.69 : x
  2. Step 2: Convert to fraction form
    240,730.31/372,547.69 = 372,547.69/x
  3. Step 3: Cross multiply
    240,730.31x = 372,547.69 × 372,547.69
  4. Step 4: Simplify right side
    240,730.31x = 138,791,779,461.60
  5. Step 5: Solve for x
    x = 138,791,779,461.60/240,730.31
  6. Step 6: Final answer
    x = 576,544.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.