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Finding the Third Proportional to 166,364 and 249,260

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Solution

The third proportional to 166,364 and 249,260 is: 373,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,364 : 249,260 = 249,260 : x
  2. Step 2: Convert to fraction form
    166,364/249,260 = 249,260/x
  3. Step 3: Cross multiply
    166,364x = 249,260 × 249,260
  4. Step 4: Simplify right side
    166,364x = 62,130,547,600
  5. Step 5: Solve for x
    x = 62,130,547,600/166,364
  6. Step 6: Final answer
    x = 373,461.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.